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Finding the Fourth Proportional to 157,500.46, 217,345.90 and 85,881.88

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Solution

The fourth proportional to 157,500.46, 217,345.90 and 85,881.88 is: 118,514.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,500.46 : 217,345.90 = 85,881.88 : x
  2. Step 2: Convert to fraction form
    157,500.46/217,345.90 = 85,881.88/x
  3. Step 3: Cross multiply
    157,500.46x = 217,345.90 × 85,881.88
  4. Step 4: Simplify right side
    157,500.46x = 18,666,074,502.29
  5. Step 5: Solve for x
    x = 18,666,074,502.29/157,500.46
  6. Step 6: Final answer
    x = 118,514.41

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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.