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Finding the Fourth Proportional to 65,704.72, 98,557.12 and 21,331.52

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Solution

The fourth proportional to 65,704.72, 98,557.12 and 21,331.52 is: 31,997.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,704.72 : 98,557.12 = 21,331.52 : x
  2. Step 2: Convert to fraction form
    65,704.72/98,557.12 = 21,331.52/x
  3. Step 3: Cross multiply
    65,704.72x = 98,557.12 × 21,331.52
  4. Step 4: Simplify right side
    65,704.72x = 2,102,373,176.42
  5. Step 5: Solve for x
    x = 2,102,373,176.42/65,704.72
  6. Step 6: Final answer
    x = 31,997.29

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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.