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Finding the Fourth Proportional to 71,480.34, 98,642.70 and 39,654

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Solution

The fourth proportional to 71,480.34, 98,642.70 and 39,654 is: 54,722.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,480.34 : 98,642.70 = 39,654 : x
  2. Step 2: Convert to fraction form
    71,480.34/98,642.70 = 39,654/x
  3. Step 3: Cross multiply
    71,480.34x = 98,642.70 × 39,654
  4. Step 4: Simplify right side
    71,480.34x = 3,911,577,625.80
  5. Step 5: Solve for x
    x = 3,911,577,625.80/71,480.34
  6. Step 6: Final answer
    x = 54,722.43

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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.