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Finding the Fourth Proportional to 138,661.44, 208,046.88 and 72,143.28

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Solution

The fourth proportional to 138,661.44, 208,046.88 and 72,143.28 is: 108,243.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,661.44 : 208,046.88 = 72,143.28 : x
  2. Step 2: Convert to fraction form
    138,661.44/208,046.88 = 72,143.28/x
  3. Step 3: Cross multiply
    138,661.44x = 208,046.88 × 72,143.28
  4. Step 4: Simplify right side
    138,661.44x = 15,009,184,316.97
  5. Step 5: Solve for x
    x = 15,009,184,316.97/138,661.44
  6. Step 6: Final answer
    x = 108,243.39

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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.