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Finding the Fourth Proportional to 138,524.36, 191,169.24 and 78,097.28

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Solution

The fourth proportional to 138,524.36, 191,169.24 and 78,097.28 is: 107,777.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,524.36 : 191,169.24 = 78,097.28 : x
  2. Step 2: Convert to fraction form
    138,524.36/191,169.24 = 78,097.28/x
  3. Step 3: Cross multiply
    138,524.36x = 191,169.24 × 78,097.28
  4. Step 4: Simplify right side
    138,524.36x = 14,929,797,663.67
  5. Step 5: Solve for x
    x = 14,929,797,663.67/138,524.36
  6. Step 6: Final answer
    x = 107,777.42

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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.