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Finding the Fourth Proportional to 138,932.96, 191,727.67 and 75,270.76

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Solution

The fourth proportional to 138,932.96, 191,727.67 and 75,270.76 is: 103,873.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,932.96 : 191,727.67 = 75,270.76 : x
  2. Step 2: Convert to fraction form
    138,932.96/191,727.67 = 75,270.76/x
  3. Step 3: Cross multiply
    138,932.96x = 191,727.67 × 75,270.76
  4. Step 4: Simplify right side
    138,932.96x = 14,431,487,433.93
  5. Step 5: Solve for x
    x = 14,431,487,433.93/138,932.96
  6. Step 6: Final answer
    x = 103,873.75

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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.