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Finding the Fourth Proportional to 138,760, 191,488.44 and 75,097.78

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Solution

The fourth proportional to 138,760, 191,488.44 and 75,097.78 is: 103,634.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,760 : 191,488.44 = 75,097.78 : x
  2. Step 2: Convert to fraction form
    138,760/191,488.44 = 75,097.78/x
  3. Step 3: Cross multiply
    138,760x = 191,488.44 × 75,097.78
  4. Step 4: Simplify right side
    138,760x = 14,380,356,739.66
  5. Step 5: Solve for x
    x = 14,380,356,739.66/138,760
  6. Step 6: Final answer
    x = 103,634.74

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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.