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Finding the Fourth Proportional to 65,890.72, 98,842.16 and 21,517.70

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Solution

The fourth proportional to 65,890.72, 98,842.16 and 21,517.70 is: 32,278.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,890.72 : 98,842.16 = 21,517.70 : x
  2. Step 2: Convert to fraction form
    65,890.72/98,842.16 = 21,517.70/x
  3. Step 3: Cross multiply
    65,890.72x = 98,842.16 × 21,517.70
  4. Step 4: Simplify right side
    65,890.72x = 2,126,856,271.08
  5. Step 5: Solve for x
    x = 2,126,856,271.08/65,890.72
  6. Step 6: Final answer
    x = 32,278.54

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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.