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Finding the Fourth Proportional to 139,118.28, 191,982.28 and 75,456.14

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Solution

The fourth proportional to 139,118.28, 191,982.28 and 75,456.14 is: 104,128.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,118.28 : 191,982.28 = 75,456.14 : x
  2. Step 2: Convert to fraction form
    139,118.28/191,982.28 = 75,456.14/x
  3. Step 3: Cross multiply
    139,118.28x = 191,982.28 × 75,456.14
  4. Step 4: Simplify right side
    139,118.28x = 14,486,241,797.20
  5. Step 5: Solve for x
    x = 14,486,241,797.20/139,118.28
  6. Step 6: Final answer
    x = 104,128.96

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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.