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Finding the Fourth Proportional to 157,354.42, 217,151.58 and 85,734.43

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Solution

The fourth proportional to 157,354.42, 217,151.58 and 85,734.43 is: 118,314.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,354.42 : 217,151.58 = 85,734.43 : x
  2. Step 2: Convert to fraction form
    157,354.42/217,151.58 = 85,734.43/x
  3. Step 3: Cross multiply
    157,354.42x = 217,151.58 × 85,734.43
  4. Step 4: Simplify right side
    157,354.42x = 18,617,366,934.90
  5. Step 5: Solve for x
    x = 18,617,366,934.90/157,354.42
  6. Step 6: Final answer
    x = 118,314.86

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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.