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Finding the Fourth Proportional to 80,839.20, 121,237.20 and 28,243.20

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Solution

The fourth proportional to 80,839.20, 121,237.20 and 28,243.20 is: 42,357.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,839.20 : 121,237.20 = 28,243.20 : x
  2. Step 2: Convert to fraction form
    80,839.20/121,237.20 = 28,243.20/x
  3. Step 3: Cross multiply
    80,839.20x = 121,237.20 × 28,243.20
  4. Step 4: Simplify right side
    80,839.20x = 3,424,126,487.04
  5. Step 5: Solve for x
    x = 3,424,126,487.04/80,839.20
  6. Step 6: Final answer
    x = 42,357.25

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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.