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Finding the Fourth Proportional to 138,906.53, 191,690.82 and 75,244.58

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Solution

The fourth proportional to 138,906.53, 191,690.82 and 75,244.58 is: 103,837.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,906.53 : 191,690.82 = 75,244.58 : x
  2. Step 2: Convert to fraction form
    138,906.53/191,690.82 = 75,244.58/x
  3. Step 3: Cross multiply
    138,906.53x = 191,690.82 × 75,244.58
  4. Step 4: Simplify right side
    138,906.53x = 14,423,695,240.76
  5. Step 5: Solve for x
    x = 14,423,695,240.76/138,906.53
  6. Step 6: Final answer
    x = 103,837.42

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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.