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Finding the Fourth Proportional to 137,795.70, 206,693.55 and 49,149.30

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Solution

The fourth proportional to 137,795.70, 206,693.55 and 49,149.30 is: 73,723.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,795.70 : 206,693.55 = 49,149.30 : x
  2. Step 2: Convert to fraction form
    137,795.70/206,693.55 = 49,149.30/x
  3. Step 3: Cross multiply
    137,795.70x = 206,693.55 × 49,149.30
  4. Step 4: Simplify right side
    137,795.70x = 10,158,843,297.02
  5. Step 5: Solve for x
    x = 10,158,843,297.02/137,795.70
  6. Step 6: Final answer
    x = 73,723.95

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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.