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Finding the Fourth Proportional to 138,768, 191,499.48 and 75,105.78

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Solution

The fourth proportional to 138,768, 191,499.48 and 75,105.78 is: 103,645.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,768 : 191,499.48 = 75,105.78 : x
  2. Step 2: Convert to fraction form
    138,768/191,499.48 = 75,105.78/x
  3. Step 3: Cross multiply
    138,768x = 191,499.48 × 75,105.78
  4. Step 4: Simplify right side
    138,768x = 14,382,717,814.99
  5. Step 5: Solve for x
    x = 14,382,717,814.99/138,768
  6. Step 6: Final answer
    x = 103,645.78

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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.