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Finding the Fourth Proportional to 129,745, 194,676.06 and 74,341

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Solution

The fourth proportional to 129,745, 194,676.06 and 74,341 is: 111,545.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,745 : 194,676.06 = 74,341 : x
  2. Step 2: Convert to fraction form
    129,745/194,676.06 = 74,341/x
  3. Step 3: Cross multiply
    129,745x = 194,676.06 × 74,341
  4. Step 4: Simplify right side
    129,745x = 14,472,412,976.46
  5. Step 5: Solve for x
    x = 14,472,412,976.46/129,745
  6. Step 6: Final answer
    x = 111,545.05

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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.