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Finding the Fourth Proportional to 137,163.65, 205,724.69 and 37,331.63

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Solution

The fourth proportional to 137,163.65, 205,724.69 and 37,331.63 is: 55,991.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,163.65 : 205,724.69 = 37,331.63 : x
  2. Step 2: Convert to fraction form
    137,163.65/205,724.69 = 37,331.63/x
  3. Step 3: Cross multiply
    137,163.65x = 205,724.69 × 37,331.63
  4. Step 4: Simplify right side
    137,163.65x = 7,680,036,793.66
  5. Step 5: Solve for x
    x = 7,680,036,793.66/137,163.65
  6. Step 6: Final answer
    x = 55,991.78

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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.