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Finding the Fourth Proportional to 199,609.80, 299,415.06 and 133,179.72

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Solution

The fourth proportional to 199,609.80, 299,415.06 and 133,179.72 is: 199,769.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,609.80 : 299,415.06 = 133,179.72 : x
  2. Step 2: Convert to fraction form
    199,609.80/299,415.06 = 133,179.72/x
  3. Step 3: Cross multiply
    199,609.80x = 299,415.06 × 133,179.72
  4. Step 4: Simplify right side
    199,609.80x = 39,876,013,854.58
  5. Step 5: Solve for x
    x = 39,876,013,854.58/199,609.80
  6. Step 6: Final answer
    x = 199,769.82

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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.