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Finding the Fourth Proportional to 65,647.38, 98,407.31 and 52,287.78

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Solution

The fourth proportional to 65,647.38, 98,407.31 and 52,287.78 is: 78,380.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,647.38 : 98,407.31 = 52,287.78 : x
  2. Step 2: Convert to fraction form
    65,647.38/98,407.31 = 52,287.78/x
  3. Step 3: Cross multiply
    65,647.38x = 98,407.31 × 52,287.78
  4. Step 4: Simplify right side
    65,647.38x = 5,145,499,514.23
  5. Step 5: Solve for x
    x = 5,145,499,514.23/65,647.38
  6. Step 6: Final answer
    x = 78,380.88

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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.