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Finding the Fourth Proportional to 199,423.66, 299,047.90 and 74,677.18

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Solution

The fourth proportional to 199,423.66, 299,047.90 and 74,677.18 is: 111,982.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,423.66 : 299,047.90 = 74,677.18 : x
  2. Step 2: Convert to fraction form
    199,423.66/299,047.90 = 74,677.18/x
  3. Step 3: Cross multiply
    199,423.66x = 299,047.90 × 74,677.18
  4. Step 4: Simplify right side
    199,423.66x = 22,332,053,856.92
  5. Step 5: Solve for x
    x = 22,332,053,856.92/199,423.66
  6. Step 6: Final answer
    x = 111,982.97

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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.