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Finding the Fourth Proportional to 139,086.80, 191,939.84 and 75,424.58

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Solution

The fourth proportional to 139,086.80, 191,939.84 and 75,424.58 is: 104,085.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,086.80 : 191,939.84 = 75,424.58 : x
  2. Step 2: Convert to fraction form
    139,086.80/191,939.84 = 75,424.58/x
  3. Step 3: Cross multiply
    139,086.80x = 191,939.84 × 75,424.58
  4. Step 4: Simplify right side
    139,086.80x = 14,476,981,440.14
  5. Step 5: Solve for x
    x = 14,476,981,440.14/139,086.80
  6. Step 6: Final answer
    x = 104,085.95

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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.