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Finding the Fourth Proportional to 138,794.28, 191,524.95 and 78,379.62

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Solution

The fourth proportional to 138,794.28, 191,524.95 and 78,379.62 is: 108,157.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,794.28 : 191,524.95 = 78,379.62 : x
  2. Step 2: Convert to fraction form
    138,794.28/191,524.95 = 78,379.62/x
  3. Step 3: Cross multiply
    138,794.28x = 191,524.95 × 78,379.62
  4. Step 4: Simplify right side
    138,794.28x = 15,011,652,801.52
  5. Step 5: Solve for x
    x = 15,011,652,801.52/138,794.28
  6. Step 6: Final answer
    x = 108,157.58

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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.