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Finding the Fourth Proportional to 80,228.67, 120,304.02 and 40,230.48

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Solution

The fourth proportional to 80,228.67, 120,304.02 and 40,230.48 is: 60,326.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,228.67 : 120,304.02 = 40,230.48 : x
  2. Step 2: Convert to fraction form
    80,228.67/120,304.02 = 40,230.48/x
  3. Step 3: Cross multiply
    80,228.67x = 120,304.02 × 40,230.48
  4. Step 4: Simplify right side
    80,228.67x = 4,839,888,470.53
  5. Step 5: Solve for x
    x = 4,839,888,470.53/80,228.67
  6. Step 6: Final answer
    x = 60,326.17

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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.