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Finding the Fourth Proportional to 65,821.92, 98,714.03 and 21,452.55

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Solution

The fourth proportional to 65,821.92, 98,714.03 and 21,452.55 is: 32,172.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,821.92 : 98,714.03 = 21,452.55 : x
  2. Step 2: Convert to fraction form
    65,821.92/98,714.03 = 21,452.55/x
  3. Step 3: Cross multiply
    65,821.92x = 98,714.03 × 21,452.55
  4. Step 4: Simplify right side
    65,821.92x = 2,117,667,186.84
  5. Step 5: Solve for x
    x = 2,117,667,186.84/65,821.92
  6. Step 6: Final answer
    x = 32,172.68

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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.