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Finding the Fourth Proportional to 84,347.34, 126,540.10 and 25,180.80

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Solution

The fourth proportional to 84,347.34, 126,540.10 and 25,180.80 is: 37,776.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,347.34 : 126,540.10 = 25,180.80 : x
  2. Step 2: Convert to fraction form
    84,347.34/126,540.10 = 25,180.80/x
  3. Step 3: Cross multiply
    84,347.34x = 126,540.10 × 25,180.80
  4. Step 4: Simplify right side
    84,347.34x = 3,186,380,950.08
  5. Step 5: Solve for x
    x = 3,186,380,950.08/84,347.34
  6. Step 6: Final answer
    x = 37,776.90

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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.