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Finding the Fourth Proportional to 138,800, 208,205.76 and 40,304

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Solution

The fourth proportional to 138,800, 208,205.76 and 40,304 is: 60,457.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,800 : 208,205.76 = 40,304 : x
  2. Step 2: Convert to fraction form
    138,800/208,205.76 = 40,304/x
  3. Step 3: Cross multiply
    138,800x = 208,205.76 × 40,304
  4. Step 4: Simplify right side
    138,800x = 8,391,524,951.04
  5. Step 5: Solve for x
    x = 8,391,524,951.04/138,800
  6. Step 6: Final answer
    x = 60,457.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.