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Finding the Fourth Proportional to 138,894.28, 208,356.06 and 45,399.88

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Solution

The fourth proportional to 138,894.28, 208,356.06 and 45,399.88 is: 68,104.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,894.28 : 208,356.06 = 45,399.88 : x
  2. Step 2: Convert to fraction form
    138,894.28/208,356.06 = 45,399.88/x
  3. Step 3: Cross multiply
    138,894.28x = 208,356.06 × 45,399.88
  4. Step 4: Simplify right side
    138,894.28x = 9,459,340,121.27
  5. Step 5: Solve for x
    x = 9,459,340,121.27/138,894.28
  6. Step 6: Final answer
    x = 68,104.61

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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.