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Finding the Fourth Proportional to 157,498.47, 217,343.13 and 85,879.89

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Solution

The fourth proportional to 157,498.47, 217,343.13 and 85,879.89 is: 118,511.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,498.47 : 217,343.13 = 85,879.89 : x
  2. Step 2: Convert to fraction form
    157,498.47/217,343.13 = 85,879.89/x
  3. Step 3: Cross multiply
    157,498.47x = 217,343.13 × 85,879.89
  4. Step 4: Simplify right side
    157,498.47x = 18,665,404,096.66
  5. Step 5: Solve for x
    x = 18,665,404,096.66/157,498.47
  6. Step 6: Final answer
    x = 118,511.65

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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.