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Finding the Fourth Proportional to 100,616.88, 138,845.88 and 55,902

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Solution

The fourth proportional to 100,616.88, 138,845.88 and 55,902 is: 77,141.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,616.88 : 138,845.88 = 55,902 : x
  2. Step 2: Convert to fraction form
    100,616.88/138,845.88 = 55,902/x
  3. Step 3: Cross multiply
    100,616.88x = 138,845.88 × 55,902
  4. Step 4: Simplify right side
    100,616.88x = 7,761,762,383.76
  5. Step 5: Solve for x
    x = 7,761,762,383.76/100,616.88
  6. Step 6: Final answer
    x = 77,141.75

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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.