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Finding the Fourth Proportional to 67,747.16, 101,620.78 and 28,282.76

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Solution

The fourth proportional to 67,747.16, 101,620.78 and 28,282.76 is: 42,424.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,747.16 : 101,620.78 = 28,282.76 : x
  2. Step 2: Convert to fraction form
    67,747.16/101,620.78 = 28,282.76/x
  3. Step 3: Cross multiply
    67,747.16x = 101,620.78 × 28,282.76
  4. Step 4: Simplify right side
    67,747.16x = 2,874,116,131.75
  5. Step 5: Solve for x
    x = 2,874,116,131.75/67,747.16
  6. Step 6: Final answer
    x = 42,424.16

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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.