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Finding the Fourth Proportional to 71,689.76, 98,934.36 and 39,860

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Solution

The fourth proportional to 71,689.76, 98,934.36 and 39,860 is: 55,008.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,689.76 : 98,934.36 = 39,860 : x
  2. Step 2: Convert to fraction form
    71,689.76/98,934.36 = 39,860/x
  3. Step 3: Cross multiply
    71,689.76x = 98,934.36 × 39,860
  4. Step 4: Simplify right side
    71,689.76x = 3,943,523,589.60
  5. Step 5: Solve for x
    x = 3,943,523,589.60/71,689.76
  6. Step 6: Final answer
    x = 55,008.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.