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Finding the Fourth Proportional to 65,275.38, 97,911.45 and 20,901.96

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Solution

The fourth proportional to 65,275.38, 97,911.45 and 20,901.96 is: 31,352.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,275.38 : 97,911.45 = 20,901.96 : x
  2. Step 2: Convert to fraction form
    65,275.38/97,911.45 = 20,901.96/x
  3. Step 3: Cross multiply
    65,275.38x = 97,911.45 × 20,901.96
  4. Step 4: Simplify right side
    65,275.38x = 2,046,541,211.44
  5. Step 5: Solve for x
    x = 2,046,541,211.44/65,275.38
  6. Step 6: Final answer
    x = 31,352.42

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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.