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Finding the Fourth Proportional to 65,121.87, 97,679.84 and 27,155.47

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Solution

The fourth proportional to 65,121.87, 97,679.84 and 27,155.47 is: 40,731.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,121.87 : 97,679.84 = 27,155.47 : x
  2. Step 2: Convert to fraction form
    65,121.87/97,679.84 = 27,155.47/x
  3. Step 3: Cross multiply
    65,121.87x = 97,679.84 × 27,155.47
  4. Step 4: Simplify right side
    65,121.87x = 2,652,541,920.65
  5. Step 5: Solve for x
    x = 2,652,541,920.65/65,121.87
  6. Step 6: Final answer
    x = 40,731.97

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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.