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Finding the Fourth Proportional to 206,998.61, 310,466.72 and 132,638.39

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Solution

The fourth proportional to 206,998.61, 310,466.72 and 132,638.39 is: 198,937.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,998.61 : 310,466.72 = 132,638.39 : x
  2. Step 2: Convert to fraction form
    206,998.61/310,466.72 = 132,638.39/x
  3. Step 3: Cross multiply
    206,998.61x = 310,466.72 × 132,638.39
  4. Step 4: Simplify right side
    206,998.61x = 41,179,805,889.38
  5. Step 5: Solve for x
    x = 41,179,805,889.38/206,998.61
  6. Step 6: Final answer
    x = 198,937.60

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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.