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Finding the Fourth Proportional to 138,793.20, 191,530.32 and 78,362.88

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Solution

The fourth proportional to 138,793.20, 191,530.32 and 78,362.88 is: 108,138.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,793.20 : 191,530.32 = 78,362.88 : x
  2. Step 2: Convert to fraction form
    138,793.20/191,530.32 = 78,362.88/x
  3. Step 3: Cross multiply
    138,793.20x = 191,530.32 × 78,362.88
  4. Step 4: Simplify right side
    138,793.20x = 15,008,867,482.52
  5. Step 5: Solve for x
    x = 15,008,867,482.52/138,793.20
  6. Step 6: Final answer
    x = 108,138.35

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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.