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Finding the Fourth Proportional to 157,234.71, 216,981.09 and 85,613.43

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Solution

The fourth proportional to 157,234.71, 216,981.09 and 85,613.43 is: 118,145.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,234.71 : 216,981.09 = 85,613.43 : x
  2. Step 2: Convert to fraction form
    157,234.71/216,981.09 = 85,613.43/x
  3. Step 3: Cross multiply
    157,234.71x = 216,981.09 × 85,613.43
  4. Step 4: Simplify right side
    157,234.71x = 18,576,495,360.04
  5. Step 5: Solve for x
    x = 18,576,495,360.04/157,234.71
  6. Step 6: Final answer
    x = 118,145.00

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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.