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Finding the Fourth Proportional to 71,752.82, 107,653.43 and 31,766.28

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Solution

The fourth proportional to 71,752.82, 107,653.43 and 31,766.28 is: 47,660.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,752.82 : 107,653.43 = 31,766.28 : x
  2. Step 2: Convert to fraction form
    71,752.82/107,653.43 = 31,766.28/x
  3. Step 3: Cross multiply
    71,752.82x = 107,653.43 × 31,766.28
  4. Step 4: Simplify right side
    71,752.82x = 3,419,749,000.34
  5. Step 5: Solve for x
    x = 3,419,749,000.34/71,752.82
  6. Step 6: Final answer
    x = 47,660.13

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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.