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Finding the Fourth Proportional to 65,205.52, 89,978.52 and 38,349.04

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Solution

The fourth proportional to 65,205.52, 89,978.52 and 38,349.04 is: 52,918.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,205.52 : 89,978.52 = 38,349.04 : x
  2. Step 2: Convert to fraction form
    65,205.52/89,978.52 = 38,349.04/x
  3. Step 3: Cross multiply
    65,205.52x = 89,978.52 × 38,349.04
  4. Step 4: Simplify right side
    65,205.52x = 3,450,589,862.62
  5. Step 5: Solve for x
    x = 3,450,589,862.62/65,205.52
  6. Step 6: Final answer
    x = 52,918.68

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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.