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Finding the Fourth Proportional to 102,161.20, 153,314.70 and 57,740.80

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Solution

The fourth proportional to 102,161.20, 153,314.70 and 57,740.80 is: 86,652.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,161.20 : 153,314.70 = 57,740.80 : x
  2. Step 2: Convert to fraction form
    102,161.20/153,314.70 = 57,740.80/x
  3. Step 3: Cross multiply
    102,161.20x = 153,314.70 × 57,740.80
  4. Step 4: Simplify right side
    102,161.20x = 8,852,513,429.76
  5. Step 5: Solve for x
    x = 8,852,513,429.76/102,161.20
  6. Step 6: Final answer
    x = 86,652.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.