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Finding the Fourth Proportional to 157,713.72, 217,882.35 and 103,394.94

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Solution

The fourth proportional to 157,713.72, 217,882.35 and 103,394.94 is: 142,840.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,713.72 : 217,882.35 = 103,394.94 : x
  2. Step 2: Convert to fraction form
    157,713.72/217,882.35 = 103,394.94/x
  3. Step 3: Cross multiply
    157,713.72x = 217,882.35 × 103,394.94
  4. Step 4: Simplify right side
    157,713.72x = 22,527,932,505.31
  5. Step 5: Solve for x
    x = 22,527,932,505.31/157,713.72
  6. Step 6: Final answer
    x = 142,840.66

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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.