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Finding the Fourth Proportional to 151,279.80, 226,919.70 and 138,838.20

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Solution

The fourth proportional to 151,279.80, 226,919.70 and 138,838.20 is: 208,257.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,279.80 : 226,919.70 = 138,838.20 : x
  2. Step 2: Convert to fraction form
    151,279.80/226,919.70 = 138,838.20/x
  3. Step 3: Cross multiply
    151,279.80x = 226,919.70 × 138,838.20
  4. Step 4: Simplify right side
    151,279.80x = 31,505,122,692.54
  5. Step 5: Solve for x
    x = 31,505,122,692.54/151,279.80
  6. Step 6: Final answer
    x = 208,257.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.