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Finding the Fourth Proportional to 87,215.50, 130,842.76 and 31,811.50

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Solution

The fourth proportional to 87,215.50, 130,842.76 and 31,811.50 is: 47,724.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,215.50 : 130,842.76 = 31,811.50 : x
  2. Step 2: Convert to fraction form
    87,215.50/130,842.76 = 31,811.50/x
  3. Step 3: Cross multiply
    87,215.50x = 130,842.76 × 31,811.50
  4. Step 4: Simplify right side
    87,215.50x = 4,162,304,459.74
  5. Step 5: Solve for x
    x = 4,162,304,459.74/87,215.50
  6. Step 6: Final answer
    x = 47,724.37

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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.