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Finding the Fourth Proportional to 267,853.36, 401,770.32 and 80,860

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Solution

The fourth proportional to 267,853.36, 401,770.32 and 80,860 is: 121,287.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,853.36 : 401,770.32 = 80,860 : x
  2. Step 2: Convert to fraction form
    267,853.36/401,770.32 = 80,860/x
  3. Step 3: Cross multiply
    267,853.36x = 401,770.32 × 80,860
  4. Step 4: Simplify right side
    267,853.36x = 32,487,148,075.20
  5. Step 5: Solve for x
    x = 32,487,148,075.20/267,853.36
  6. Step 6: Final answer
    x = 121,287.07

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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.