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Finding the Fourth Proportional to 138,885, 208,284.40 and 50,126.95

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Solution

The fourth proportional to 138,885, 208,284.40 and 50,126.95 is: 75,174.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,885 : 208,284.40 = 50,126.95 : x
  2. Step 2: Convert to fraction form
    138,885/208,284.40 = 50,126.95/x
  3. Step 3: Cross multiply
    138,885x = 208,284.40 × 50,126.95
  4. Step 4: Simplify right side
    138,885x = 10,440,661,704.58
  5. Step 5: Solve for x
    x = 10,440,661,704.58/138,885
  6. Step 6: Final answer
    x = 75,174.87

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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.