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Finding the Fourth Proportional to 139,991.96, 193,184.70 and 76,331

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Solution

The fourth proportional to 139,991.96, 193,184.70 and 76,331 is: 105,334.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,991.96 : 193,184.70 = 76,331 : x
  2. Step 2: Convert to fraction form
    139,991.96/193,184.70 = 76,331/x
  3. Step 3: Cross multiply
    139,991.96x = 193,184.70 × 76,331
  4. Step 4: Simplify right side
    139,991.96x = 14,745,981,335.70
  5. Step 5: Solve for x
    x = 14,745,981,335.70/139,991.96
  6. Step 6: Final answer
    x = 105,334.49

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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.