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Finding the Fourth Proportional to 84,306.30, 126,484.16 and 25,143.90

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Solution

The fourth proportional to 84,306.30, 126,484.16 and 25,143.90 is: 37,723.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,306.30 : 126,484.16 = 25,143.90 : x
  2. Step 2: Convert to fraction form
    84,306.30/126,484.16 = 25,143.90/x
  3. Step 3: Cross multiply
    84,306.30x = 126,484.16 × 25,143.90
  4. Step 4: Simplify right side
    84,306.30x = 3,180,304,944.90
  5. Step 5: Solve for x
    x = 3,180,304,944.90/84,306.30
  6. Step 6: Final answer
    x = 37,723.22

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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.