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Finding the Fourth Proportional to 71,532.74, 98,713.95 and 39,702.98

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Solution

The fourth proportional to 71,532.74, 98,713.95 and 39,702.98 is: 54,789.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,532.74 : 98,713.95 = 39,702.98 : x
  2. Step 2: Convert to fraction form
    71,532.74/98,713.95 = 39,702.98/x
  3. Step 3: Cross multiply
    71,532.74x = 98,713.95 × 39,702.98
  4. Step 4: Simplify right side
    71,532.74x = 3,919,237,982.57
  5. Step 5: Solve for x
    x = 3,919,237,982.57/71,532.74
  6. Step 6: Final answer
    x = 54,789.43

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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.