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Finding the Fourth Proportional to 71,368.60, 98,489.46 and 39,538

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Solution

The fourth proportional to 71,368.60, 98,489.46 and 39,538 is: 54,562.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,368.60 : 98,489.46 = 39,538 : x
  2. Step 2: Convert to fraction form
    71,368.60/98,489.46 = 39,538/x
  3. Step 3: Cross multiply
    71,368.60x = 98,489.46 × 39,538
  4. Step 4: Simplify right side
    71,368.60x = 3,894,076,269.48
  5. Step 5: Solve for x
    x = 3,894,076,269.48/71,368.60
  6. Step 6: Final answer
    x = 54,562.88

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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.