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Finding the Fourth Proportional to 85,115.92, 127,433.82 and 45,044.14

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Solution

The fourth proportional to 85,115.92, 127,433.82 and 45,044.14 is: 67,439.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,115.92 : 127,433.82 = 45,044.14 : x
  2. Step 2: Convert to fraction form
    85,115.92/127,433.82 = 45,044.14/x
  3. Step 3: Cross multiply
    85,115.92x = 127,433.82 × 45,044.14
  4. Step 4: Simplify right side
    85,115.92x = 5,740,146,828.81
  5. Step 5: Solve for x
    x = 5,740,146,828.81/85,115.92
  6. Step 6: Final answer
    x = 67,439.17

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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.