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Finding the Fourth Proportional to 116,753.61, 161,132.12 and 71,461.78

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Solution

The fourth proportional to 116,753.61, 161,132.12 and 71,461.78 is: 98,624.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,753.61 : 161,132.12 = 71,461.78 : x
  2. Step 2: Convert to fraction form
    116,753.61/161,132.12 = 71,461.78/x
  3. Step 3: Cross multiply
    116,753.61x = 161,132.12 × 71,461.78
  4. Step 4: Simplify right side
    116,753.61x = 11,514,788,110.37
  5. Step 5: Solve for x
    x = 11,514,788,110.37/116,753.61
  6. Step 6: Final answer
    x = 98,624.69

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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.