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Finding the Fourth Proportional to 138,854.85, 191,620.40 and 75,192.90

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Solution

The fourth proportional to 138,854.85, 191,620.40 and 75,192.90 is: 103,766.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,854.85 : 191,620.40 = 75,192.90 : x
  2. Step 2: Convert to fraction form
    138,854.85/191,620.40 = 75,192.90/x
  3. Step 3: Cross multiply
    138,854.85x = 191,620.40 × 75,192.90
  4. Step 4: Simplify right side
    138,854.85x = 14,408,493,199.20
  5. Step 5: Solve for x
    x = 14,408,493,199.20/138,854.85
  6. Step 6: Final answer
    x = 103,766.58

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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.