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Finding the Fourth Proportional to 71,459.92, 98,614.52 and 39,628

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Solution

The fourth proportional to 71,459.92, 98,614.52 and 39,628 is: 54,686.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,459.92 : 98,614.52 = 39,628 : x
  2. Step 2: Convert to fraction form
    71,459.92/98,614.52 = 39,628/x
  3. Step 3: Cross multiply
    71,459.92x = 98,614.52 × 39,628
  4. Step 4: Simplify right side
    71,459.92x = 3,907,896,198.56
  5. Step 5: Solve for x
    x = 3,907,896,198.56/71,459.92
  6. Step 6: Final answer
    x = 54,686.55

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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.