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Finding the Fourth Proportional to 120,145,105.95, 168,585,785.85 and 120,145,105.95

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Solution

The fourth proportional to 120,145,105.95, 168,585,785.85 and 120,145,105.95 is: 168,585,785.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,145,105.95 : 168,585,785.85 = 120,145,105.95 : x
  2. Step 2: Convert to fraction form
    120,145,105.95/168,585,785.85 = 120,145,105.95/x
  3. Step 3: Cross multiply
    120,145,105.95x = 168,585,785.85 × 120,145,105.95
  4. Step 4: Simplify right side
    120,145,105.95x = 20,254,757,102,612,260
  5. Step 5: Solve for x
    x = 20,254,757,102,612,260/120,145,105.95
  6. Step 6: Final answer
    x = 168,585,785.85

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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.