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Finding the Fourth Proportional to 138,876.40, 208,476.60 and 72,391.60

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Solution

The fourth proportional to 138,876.40, 208,476.60 and 72,391.60 is: 108,671.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,876.40 : 208,476.60 = 72,391.60 : x
  2. Step 2: Convert to fraction form
    138,876.40/208,476.60 = 72,391.60/x
  3. Step 3: Cross multiply
    138,876.40x = 208,476.60 × 72,391.60
  4. Step 4: Simplify right side
    138,876.40x = 15,091,954,636.56
  5. Step 5: Solve for x
    x = 15,091,954,636.56/138,876.40
  6. Step 6: Final answer
    x = 108,671.85

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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.