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Finding the Fourth Proportional to 100,224.78, 138,305.25 and 54,902.95

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Solution

The fourth proportional to 100,224.78, 138,305.25 and 54,902.95 is: 75,763.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,224.78 : 138,305.25 = 54,902.95 : x
  2. Step 2: Convert to fraction form
    100,224.78/138,305.25 = 54,902.95/x
  3. Step 3: Cross multiply
    100,224.78x = 138,305.25 × 54,902.95
  4. Step 4: Simplify right side
    100,224.78x = 7,593,366,225.49
  5. Step 5: Solve for x
    x = 7,593,366,225.49/100,224.78
  6. Step 6: Final answer
    x = 75,763.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.