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Finding the Fourth Proportional to 157,134.78, 216,839.52 and 85,514.94

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Solution

The fourth proportional to 157,134.78, 216,839.52 and 85,514.94 is: 118,007.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,134.78 : 216,839.52 = 85,514.94 : x
  2. Step 2: Convert to fraction form
    157,134.78/216,839.52 = 85,514.94/x
  3. Step 3: Cross multiply
    157,134.78x = 216,839.52 × 85,514.94
  4. Step 4: Simplify right side
    157,134.78x = 18,543,018,542.43
  5. Step 5: Solve for x
    x = 18,543,018,542.43/157,134.78
  6. Step 6: Final answer
    x = 118,007.09

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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.