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Finding the Fourth Proportional to 138,830.84, 208,283.12 and 72,251.27

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Solution

The fourth proportional to 138,830.84, 208,283.12 and 72,251.27 is: 108,396.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,830.84 : 208,283.12 = 72,251.27 : x
  2. Step 2: Convert to fraction form
    138,830.84/208,283.12 = 72,251.27/x
  3. Step 3: Cross multiply
    138,830.84x = 208,283.12 × 72,251.27
  4. Step 4: Simplify right side
    138,830.84x = 15,048,719,939.56
  5. Step 5: Solve for x
    x = 15,048,719,939.56/138,830.84
  6. Step 6: Final answer
    x = 108,396.09

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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.