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Finding the Fourth Proportional to 100,695.36, 138,961.12 and 55,375.28

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Solution

The fourth proportional to 100,695.36, 138,961.12 and 55,375.28 is: 76,418.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,695.36 : 138,961.12 = 55,375.28 : x
  2. Step 2: Convert to fraction form
    100,695.36/138,961.12 = 55,375.28/x
  3. Step 3: Cross multiply
    100,695.36x = 138,961.12 × 55,375.28
  4. Step 4: Simplify right side
    100,695.36x = 7,695,010,929.11
  5. Step 5: Solve for x
    x = 7,695,010,929.11/100,695.36
  6. Step 6: Final answer
    x = 76,418.72

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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.