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Finding the Fourth Proportional to 67,727.70, 101,601 and 28,275.84

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Solution

The fourth proportional to 67,727.70, 101,601 and 28,275.84 is: 42,417.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,727.70 : 101,601 = 28,275.84 : x
  2. Step 2: Convert to fraction form
    67,727.70/101,601 = 28,275.84/x
  3. Step 3: Cross multiply
    67,727.70x = 101,601 × 28,275.84
  4. Step 4: Simplify right side
    67,727.70x = 2,872,853,619.84
  5. Step 5: Solve for x
    x = 2,872,853,619.84/67,727.70
  6. Step 6: Final answer
    x = 42,417.71

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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.