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Finding the Fourth Proportional to 65,614.59, 98,424.92 and 21,244.82

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Solution

The fourth proportional to 65,614.59, 98,424.92 and 21,244.82 is: 31,868.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,614.59 : 98,424.92 = 21,244.82 : x
  2. Step 2: Convert to fraction form
    65,614.59/98,424.92 = 21,244.82/x
  3. Step 3: Cross multiply
    65,614.59x = 98,424.92 × 21,244.82
  4. Step 4: Simplify right side
    65,614.59x = 2,091,019,269.90
  5. Step 5: Solve for x
    x = 2,091,019,269.90/65,614.59
  6. Step 6: Final answer
    x = 31,868.21

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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.