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Finding the Fourth Proportional to 137,930.67, 206,791.10 and 71,328.32

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Solution

The fourth proportional to 137,930.67, 206,791.10 and 71,328.32 is: 106,938.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,930.67 : 206,791.10 = 71,328.32 : x
  2. Step 2: Convert to fraction form
    137,930.67/206,791.10 = 71,328.32/x
  3. Step 3: Cross multiply
    137,930.67x = 206,791.10 × 71,328.32
  4. Step 4: Simplify right side
    137,930.67x = 14,750,062,188.51
  5. Step 5: Solve for x
    x = 14,750,062,188.51/137,930.67
  6. Step 6: Final answer
    x = 106,938.23

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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.