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Finding the Fourth Proportional to 157,351.92, 217,148.13 and 85,731.93

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Solution

The fourth proportional to 157,351.92, 217,148.13 and 85,731.93 is: 118,311.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,351.92 : 217,148.13 = 85,731.93 : x
  2. Step 2: Convert to fraction form
    157,351.92/217,148.13 = 85,731.93/x
  3. Step 3: Cross multiply
    157,351.92x = 217,148.13 × 85,731.93
  4. Step 4: Simplify right side
    157,351.92x = 18,616,528,280.79
  5. Step 5: Solve for x
    x = 18,616,528,280.79/157,351.92
  6. Step 6: Final answer
    x = 118,311.41

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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.