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Finding the Fourth Proportional to 84,334.88, 126,354.62 and 75,182.24

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Solution

The fourth proportional to 84,334.88, 126,354.62 and 75,182.24 is: 112,641.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,334.88 : 126,354.62 = 75,182.24 : x
  2. Step 2: Convert to fraction form
    84,334.88/126,354.62 = 75,182.24/x
  3. Step 3: Cross multiply
    84,334.88x = 126,354.62 × 75,182.24
  4. Step 4: Simplify right side
    84,334.88x = 9,499,623,365.95
  5. Step 5: Solve for x
    x = 9,499,623,365.95/84,334.88
  6. Step 6: Final answer
    x = 112,641.69

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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.