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Finding the Fourth Proportional to 65,545.20, 98,142.84 and 57,672

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Solution

The fourth proportional to 65,545.20, 98,142.84 and 57,672 is: 86,354.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,545.20 : 98,142.84 = 57,672 : x
  2. Step 2: Convert to fraction form
    65,545.20/98,142.84 = 57,672/x
  3. Step 3: Cross multiply
    65,545.20x = 98,142.84 × 57,672
  4. Step 4: Simplify right side
    65,545.20x = 5,660,093,868.48
  5. Step 5: Solve for x
    x = 5,660,093,868.48/65,545.20
  6. Step 6: Final answer
    x = 86,354.06

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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.