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Finding the Fourth Proportional to 157,553.14, 217,423.20 and 85,932.94

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Solution

The fourth proportional to 157,553.14, 217,423.20 and 85,932.94 is: 118,587.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,553.14 : 217,423.20 = 85,932.94 : x
  2. Step 2: Convert to fraction form
    157,553.14/217,423.20 = 85,932.94/x
  3. Step 3: Cross multiply
    157,553.14x = 217,423.20 × 85,932.94
  4. Step 4: Simplify right side
    157,553.14x = 18,683,814,370.54
  5. Step 5: Solve for x
    x = 18,683,814,370.54/157,553.14
  6. Step 6: Final answer
    x = 118,587.38

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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.