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Finding the Fourth Proportional to 136,891.44, 188,910.48 and 77,275.44

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Solution

The fourth proportional to 136,891.44, 188,910.48 and 77,275.44 is: 106,640.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,891.44 : 188,910.48 = 77,275.44 : x
  2. Step 2: Convert to fraction form
    136,891.44/188,910.48 = 77,275.44/x
  3. Step 3: Cross multiply
    136,891.44x = 188,910.48 × 77,275.44
  4. Step 4: Simplify right side
    136,891.44x = 14,598,140,462.61
  5. Step 5: Solve for x
    x = 14,598,140,462.61/136,891.44
  6. Step 6: Final answer
    x = 106,640.27

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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.