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Finding the Fourth Proportional to 84,116.62, 126,138.00 and 31,489.20

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Solution

The fourth proportional to 84,116.62, 126,138.00 and 31,489.20 is: 47,219.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,116.62 : 126,138.00 = 31,489.20 : x
  2. Step 2: Convert to fraction form
    84,116.62/126,138.00 = 31,489.20/x
  3. Step 3: Cross multiply
    84,116.62x = 126,138.00 × 31,489.20
  4. Step 4: Simplify right side
    84,116.62x = 3,971,984,827.68
  5. Step 5: Solve for x
    x = 3,971,984,827.68/84,116.62
  6. Step 6: Final answer
    x = 47,219.98

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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.