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Finding the Fourth Proportional to 157,135.60, 216,842.60 and 85,514

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Solution

The fourth proportional to 157,135.60, 216,842.60 and 85,514 is: 118,006.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,135.60 : 216,842.60 = 85,514 : x
  2. Step 2: Convert to fraction form
    157,135.60/216,842.60 = 85,514/x
  3. Step 3: Cross multiply
    157,135.60x = 216,842.60 × 85,514
  4. Step 4: Simplify right side
    157,135.60x = 18,543,078,096.40
  5. Step 5: Solve for x
    x = 18,543,078,096.40/157,135.60
  6. Step 6: Final answer
    x = 118,006.86

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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.