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Finding the Fourth Proportional to 65,952.17, 98,942.10 and 21,575.45

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Solution

The fourth proportional to 65,952.17, 98,942.10 and 21,575.45 is: 32,367.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,952.17 : 98,942.10 = 21,575.45 : x
  2. Step 2: Convert to fraction form
    65,952.17/98,942.10 = 21,575.45/x
  3. Step 3: Cross multiply
    65,952.17x = 98,942.10 × 21,575.45
  4. Step 4: Simplify right side
    65,952.17x = 2,134,719,728.86
  5. Step 5: Solve for x
    x = 2,134,719,728.86/65,952.17
  6. Step 6: Final answer
    x = 32,367.70

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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.