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Finding the Fourth Proportional to 137,931.67, 206,792.60 and 71,329.32

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Solution

The fourth proportional to 137,931.67, 206,792.60 and 71,329.32 is: 106,939.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,931.67 : 206,792.60 = 71,329.32 : x
  2. Step 2: Convert to fraction form
    137,931.67/206,792.60 = 71,329.32/x
  3. Step 3: Cross multiply
    137,931.67x = 206,792.60 × 71,329.32
  4. Step 4: Simplify right side
    137,931.67x = 14,750,375,539.03
  5. Step 5: Solve for x
    x = 14,750,375,539.03/137,931.67
  6. Step 6: Final answer
    x = 106,939.73

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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.