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Finding the Fourth Proportional to 71,694, 98,933.04 and 39,861.76

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Solution

The fourth proportional to 71,694, 98,933.04 and 39,861.76 is: 55,006.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,694 : 98,933.04 = 39,861.76 : x
  2. Step 2: Convert to fraction form
    71,694/98,933.04 = 39,861.76/x
  3. Step 3: Cross multiply
    71,694x = 98,933.04 × 39,861.76
  4. Step 4: Simplify right side
    71,694x = 3,943,645,096.55
  5. Step 5: Solve for x
    x = 3,943,645,096.55/71,694
  6. Step 6: Final answer
    x = 55,006.63

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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.