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Finding the Fourth Proportional to 84,499.96, 126,706.20 and 45,046.48

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Solution

The fourth proportional to 84,499.96, 126,706.20 and 45,046.48 is: 67,546.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,499.96 : 126,706.20 = 45,046.48 : x
  2. Step 2: Convert to fraction form
    84,499.96/126,706.20 = 45,046.48/x
  3. Step 3: Cross multiply
    84,499.96x = 126,706.20 × 45,046.48
  4. Step 4: Simplify right side
    84,499.96x = 5,707,668,304.18
  5. Step 5: Solve for x
    x = 5,707,668,304.18/84,499.96
  6. Step 6: Final answer
    x = 67,546.40

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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.