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Finding the Fourth Proportional to 138,742.88, 191,464.56 and 75,081.80

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Solution

The fourth proportional to 138,742.88, 191,464.56 and 75,081.80 is: 103,612.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,742.88 : 191,464.56 = 75,081.80 : x
  2. Step 2: Convert to fraction form
    138,742.88/191,464.56 = 75,081.80/x
  3. Step 3: Cross multiply
    138,742.88x = 191,464.56 × 75,081.80
  4. Step 4: Simplify right side
    138,742.88x = 14,375,503,801.01
  5. Step 5: Solve for x
    x = 14,375,503,801.01/138,742.88
  6. Step 6: Final answer
    x = 103,612.55

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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.