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Finding the Fourth Proportional to 136,895.44, 188,916 and 77,279.44

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Solution

The fourth proportional to 136,895.44, 188,916 and 77,279.44 is: 106,645.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,895.44 : 188,916 = 77,279.44 : x
  2. Step 2: Convert to fraction form
    136,895.44/188,916 = 77,279.44/x
  3. Step 3: Cross multiply
    136,895.44x = 188,916 × 77,279.44
  4. Step 4: Simplify right side
    136,895.44x = 14,599,322,687.04
  5. Step 5: Solve for x
    x = 14,599,322,687.04/136,895.44
  6. Step 6: Final answer
    x = 106,645.79

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1.5x scale

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.