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Finding the Fourth Proportional to 71,468.34, 98,626.14 and 39,642

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Solution

The fourth proportional to 71,468.34, 98,626.14 and 39,642 is: 54,705.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,468.34 : 98,626.14 = 39,642 : x
  2. Step 2: Convert to fraction form
    71,468.34/98,626.14 = 39,642/x
  3. Step 3: Cross multiply
    71,468.34x = 98,626.14 × 39,642
  4. Step 4: Simplify right side
    71,468.34x = 3,909,737,441.88
  5. Step 5: Solve for x
    x = 3,909,737,441.88/71,468.34
  6. Step 6: Final answer
    x = 54,705.87

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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.