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Finding the Fourth Proportional to 71,233.88, 106,821.60 and 31,764

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Solution

The fourth proportional to 71,233.88, 106,821.60 and 31,764 is: 47,632.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,233.88 : 106,821.60 = 31,764 : x
  2. Step 2: Convert to fraction form
    71,233.88/106,821.60 = 31,764/x
  3. Step 3: Cross multiply
    71,233.88x = 106,821.60 × 31,764
  4. Step 4: Simplify right side
    71,233.88x = 3,393,081,302.40
  5. Step 5: Solve for x
    x = 3,393,081,302.40/71,233.88
  6. Step 6: Final answer
    x = 47,632.97

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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.