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Finding the Fourth Proportional to 84,171.76, 126,278.76 and 24,200.32

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Solution

The fourth proportional to 84,171.76, 126,278.76 and 24,200.32 is: 36,306.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,171.76 : 126,278.76 = 24,200.32 : x
  2. Step 2: Convert to fraction form
    84,171.76/126,278.76 = 24,200.32/x
  3. Step 3: Cross multiply
    84,171.76x = 126,278.76 × 24,200.32
  4. Step 4: Simplify right side
    84,171.76x = 3,055,986,401.20
  5. Step 5: Solve for x
    x = 3,055,986,401.20/84,171.76
  6. Step 6: Final answer
    x = 36,306.55

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1.5x scale

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.