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Finding the Fourth Proportional to 157,700.16, 217,597.10 and 89,713.16

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Solution

The fourth proportional to 157,700.16, 217,597.10 and 89,713.16 is: 123,787.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,700.16 : 217,597.10 = 89,713.16 : x
  2. Step 2: Convert to fraction form
    157,700.16/217,597.10 = 89,713.16/x
  3. Step 3: Cross multiply
    157,700.16x = 217,597.10 × 89,713.16
  4. Step 4: Simplify right side
    157,700.16x = 19,521,323,447.84
  5. Step 5: Solve for x
    x = 19,521,323,447.84/157,700.16
  6. Step 6: Final answer
    x = 123,787.59

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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.