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Finding the Fourth Proportional to 138,906.64, 191,679.78 and 78,482.50

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Solution

The fourth proportional to 138,906.64, 191,679.78 and 78,482.50 is: 108,299.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,906.64 : 191,679.78 = 78,482.50 : x
  2. Step 2: Convert to fraction form
    138,906.64/191,679.78 = 78,482.50/x
  3. Step 3: Cross multiply
    138,906.64x = 191,679.78 × 78,482.50
  4. Step 4: Simplify right side
    138,906.64x = 15,043,508,333.85
  5. Step 5: Solve for x
    x = 15,043,508,333.85/138,906.64
  6. Step 6: Final answer
    x = 108,299.42

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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.