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Finding the Fourth Proportional to 65,306.65, 90,124.20 and 38,082

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Solution

The fourth proportional to 65,306.65, 90,124.20 and 38,082 is: 52,553.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,306.65 : 90,124.20 = 38,082 : x
  2. Step 2: Convert to fraction form
    65,306.65/90,124.20 = 38,082/x
  3. Step 3: Cross multiply
    65,306.65x = 90,124.20 × 38,082
  4. Step 4: Simplify right side
    65,306.65x = 3,432,109,784.40
  5. Step 5: Solve for x
    x = 3,432,109,784.40/65,306.65
  6. Step 6: Final answer
    x = 52,553.76

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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.