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Finding the Fourth Proportional to 116,761.91, 174,861.99 and 66,690.14

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Solution

The fourth proportional to 116,761.91, 174,861.99 and 66,690.14 is: 99,874.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,761.91 : 174,861.99 = 66,690.14 : x
  2. Step 2: Convert to fraction form
    116,761.91/174,861.99 = 66,690.14/x
  3. Step 3: Cross multiply
    116,761.91x = 174,861.99 × 66,690.14
  4. Step 4: Simplify right side
    116,761.91x = 11,661,569,719.47
  5. Step 5: Solve for x
    x = 11,661,569,719.47/116,761.91
  6. Step 6: Final answer
    x = 99,874.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.