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Finding the Fourth Proportional to 138,624.80, 207,935.28 and 33,442.88

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Solution

The fourth proportional to 138,624.80, 207,935.28 and 33,442.88 is: 50,163.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,624.80 : 207,935.28 = 33,442.88 : x
  2. Step 2: Convert to fraction form
    138,624.80/207,935.28 = 33,442.88/x
  3. Step 3: Cross multiply
    138,624.80x = 207,935.28 × 33,442.88
  4. Step 4: Simplify right side
    138,624.80x = 6,953,954,616.81
  5. Step 5: Solve for x
    x = 6,953,954,616.81/138,624.80
  6. Step 6: Final answer
    x = 50,163.86

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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.