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Finding the Fourth Proportional to 138,980.86, 191,793.75 and 75,318.65

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Solution

The fourth proportional to 138,980.86, 191,793.75 and 75,318.65 is: 103,939.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,980.86 : 191,793.75 = 75,318.65 : x
  2. Step 2: Convert to fraction form
    138,980.86/191,793.75 = 75,318.65/x
  3. Step 3: Cross multiply
    138,980.86x = 191,793.75 × 75,318.65
  4. Step 4: Simplify right side
    138,980.86x = 14,445,645,951.84
  5. Step 5: Solve for x
    x = 14,445,645,951.84/138,980.86
  6. Step 6: Final answer
    x = 103,939.83

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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.