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Finding the Fourth Proportional to 138,894.12, 191,673.94 and 75,231.72

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Solution

The fourth proportional to 138,894.12, 191,673.94 and 75,231.72 is: 103,819.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,894.12 : 191,673.94 = 75,231.72 : x
  2. Step 2: Convert to fraction form
    138,894.12/191,673.94 = 75,231.72/x
  3. Step 3: Cross multiply
    138,894.12x = 191,673.94 × 75,231.72
  4. Step 4: Simplify right side
    138,894.12x = 14,419,960,185.38
  5. Step 5: Solve for x
    x = 14,419,960,185.38/138,894.12
  6. Step 6: Final answer
    x = 103,819.80

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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.