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Finding the Fourth Proportional to 120,145,105.20, 168,585,784.80 and 120,145,105.20

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Solution

The fourth proportional to 120,145,105.20, 168,585,784.80 and 120,145,105.20 is: 168,585,784.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,145,105.20 : 168,585,784.80 = 120,145,105.20 : x
  2. Step 2: Convert to fraction form
    120,145,105.20/168,585,784.80 = 120,145,105.20/x
  3. Step 3: Cross multiply
    120,145,105.20x = 168,585,784.80 × 120,145,105.20
  4. Step 4: Simplify right side
    120,145,105.20x = 20,254,756,850,020,564
  5. Step 5: Solve for x
    x = 20,254,756,850,020,564/120,145,105.20
  6. Step 6: Final answer
    x = 168,585,784.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.