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Finding the Fourth Proportional to 84,211.80, 126,342.84 and 25,049.40

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Solution

The fourth proportional to 84,211.80, 126,342.84 and 25,049.40 is: 37,581.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,211.80 : 126,342.84 = 25,049.40 : x
  2. Step 2: Convert to fraction form
    84,211.80/126,342.84 = 25,049.40/x
  3. Step 3: Cross multiply
    84,211.80x = 126,342.84 × 25,049.40
  4. Step 4: Simplify right side
    84,211.80x = 3,164,812,336.30
  5. Step 5: Solve for x
    x = 3,164,812,336.30/84,211.80
  6. Step 6: Final answer
    x = 37,581.58

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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.