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Finding the Fourth Proportional to 157,729.73, 217,686.13 and 89,763.24

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Solution

The fourth proportional to 157,729.73, 217,686.13 and 89,763.24 is: 123,884.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,729.73 : 217,686.13 = 89,763.24 : x
  2. Step 2: Convert to fraction form
    157,729.73/217,686.13 = 89,763.24/x
  3. Step 3: Cross multiply
    157,729.73x = 217,686.13 × 89,763.24
  4. Step 4: Simplify right side
    157,729.73x = 19,540,210,794.61
  5. Step 5: Solve for x
    x = 19,540,210,794.61/157,729.73
  6. Step 6: Final answer
    x = 123,884.13

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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.