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Finding the Fourth Proportional to 129,947.20, 194,920.80 and 31,451.20

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Solution

The fourth proportional to 129,947.20, 194,920.80 and 31,451.20 is: 47,176.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,947.20 : 194,920.80 = 31,451.20 : x
  2. Step 2: Convert to fraction form
    129,947.20/194,920.80 = 31,451.20/x
  3. Step 3: Cross multiply
    129,947.20x = 194,920.80 × 31,451.20
  4. Step 4: Simplify right side
    129,947.20x = 6,130,493,064.96
  5. Step 5: Solve for x
    x = 6,130,493,064.96/129,947.20
  6. Step 6: Final answer
    x = 47,176.80

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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.