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Finding the Fourth Proportional to 84,874.92, 127,318.86 and 25,715.49

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Solution

The fourth proportional to 84,874.92, 127,318.86 and 25,715.49 is: 38,575.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,874.92 : 127,318.86 = 25,715.49 : x
  2. Step 2: Convert to fraction form
    84,874.92/127,318.86 = 25,715.49/x
  3. Step 3: Cross multiply
    84,874.92x = 127,318.86 × 25,715.49
  4. Step 4: Simplify right side
    84,874.92x = 3,274,066,871.14
  5. Step 5: Solve for x
    x = 3,274,066,871.14/84,874.92
  6. Step 6: Final answer
    x = 38,575.20

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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.