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Finding the Fourth Proportional to 169,419.78, 253,964.42 and 80,649.44

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Solution

The fourth proportional to 169,419.78, 253,964.42 and 80,649.44 is: 120,895.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,419.78 : 253,964.42 = 80,649.44 : x
  2. Step 2: Convert to fraction form
    169,419.78/253,964.42 = 80,649.44/x
  3. Step 3: Cross multiply
    169,419.78x = 253,964.42 × 80,649.44
  4. Step 4: Simplify right side
    169,419.78x = 20,482,088,252.92
  5. Step 5: Solve for x
    x = 20,482,088,252.92/169,419.78
  6. Step 6: Final answer
    x = 120,895.50

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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.