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Finding the Fourth Proportional to 140,909.80, 194,522 and 87,229.88

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Solution

The fourth proportional to 140,909.80, 194,522 and 87,229.88 is: 120,418.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,909.80 : 194,522 = 87,229.88 : x
  2. Step 2: Convert to fraction form
    140,909.80/194,522 = 87,229.88/x
  3. Step 3: Cross multiply
    140,909.80x = 194,522 × 87,229.88
  4. Step 4: Simplify right side
    140,909.80x = 16,968,130,717.36
  5. Step 5: Solve for x
    x = 16,968,130,717.36/140,909.80
  6. Step 6: Final answer
    x = 120,418.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.