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Finding the Fourth Proportional to 65,098.40, 89,836.50 and 38,242.04

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Solution

The fourth proportional to 65,098.40, 89,836.50 and 38,242.04 is: 52,774.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,098.40 : 89,836.50 = 38,242.04 : x
  2. Step 2: Convert to fraction form
    65,098.40/89,836.50 = 38,242.04/x
  3. Step 3: Cross multiply
    65,098.40x = 89,836.50 × 38,242.04
  4. Step 4: Simplify right side
    65,098.40x = 3,435,531,251.05
  5. Step 5: Solve for x
    x = 3,435,531,251.05/65,098.40
  6. Step 6: Final answer
    x = 52,774.43

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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.