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Finding the Fourth Proportional to 71,227.88, 106,812.66 and 31,758

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Solution

The fourth proportional to 71,227.88, 106,812.66 and 31,758 is: 47,624.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,227.88 : 106,812.66 = 31,758 : x
  2. Step 2: Convert to fraction form
    71,227.88/106,812.66 = 31,758/x
  3. Step 3: Cross multiply
    71,227.88x = 106,812.66 × 31,758
  4. Step 4: Simplify right side
    71,227.88x = 3,392,156,456.28
  5. Step 5: Solve for x
    x = 3,392,156,456.28/71,227.88
  6. Step 6: Final answer
    x = 47,624.00

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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.