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Finding the Fourth Proportional to 129,371.14, 194,064.90 and 40,628.14

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Solution

The fourth proportional to 129,371.14, 194,064.90 and 40,628.14 is: 60,944.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,371.14 : 194,064.90 = 40,628.14 : x
  2. Step 2: Convert to fraction form
    129,371.14/194,064.90 = 40,628.14/x
  3. Step 3: Cross multiply
    129,371.14x = 194,064.90 × 40,628.14
  4. Step 4: Simplify right side
    129,371.14x = 7,884,495,926.29
  5. Step 5: Solve for x
    x = 7,884,495,926.29/129,371.14
  6. Step 6: Final answer
    x = 60,944.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.