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Finding the Fourth Proportional to 157,278.46, 217,046.74 and 85,658.42

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Solution

The fourth proportional to 157,278.46, 217,046.74 and 85,658.42 is: 118,209.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,278.46 : 217,046.74 = 85,658.42 : x
  2. Step 2: Convert to fraction form
    157,278.46/217,046.74 = 85,658.42/x
  3. Step 3: Cross multiply
    157,278.46x = 217,046.74 × 85,658.42
  4. Step 4: Simplify right side
    157,278.46x = 18,591,880,814.55
  5. Step 5: Solve for x
    x = 18,591,880,814.55/157,278.46
  6. Step 6: Final answer
    x = 118,209.96

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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.