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Finding the Fourth Proportional to 157,765.31, 217,715.28 and 86,145.38

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Solution

The fourth proportional to 157,765.31, 217,715.28 and 86,145.38 is: 118,880.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,765.31 : 217,715.28 = 86,145.38 : x
  2. Step 2: Convert to fraction form
    157,765.31/217,715.28 = 86,145.38/x
  3. Step 3: Cross multiply
    157,765.31x = 217,715.28 × 86,145.38
  4. Step 4: Simplify right side
    157,765.31x = 18,755,165,527.41
  5. Step 5: Solve for x
    x = 18,755,165,527.41/157,765.31
  6. Step 6: Final answer
    x = 118,880.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.