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Finding the Fourth Proportional to 65,125.20, 97,687.80 and 38,443.80

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Solution

The fourth proportional to 65,125.20, 97,687.80 and 38,443.80 is: 57,665.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,125.20 : 97,687.80 = 38,443.80 : x
  2. Step 2: Convert to fraction form
    65,125.20/97,687.80 = 38,443.80/x
  3. Step 3: Cross multiply
    65,125.20x = 97,687.80 × 38,443.80
  4. Step 4: Simplify right side
    65,125.20x = 3,755,490,245.64
  5. Step 5: Solve for x
    x = 3,755,490,245.64/65,125.20
  6. Step 6: Final answer
    x = 57,665.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.