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Finding the Fourth Proportional to 169,219.72, 253,712.94 and 80,398.36

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Solution

The fourth proportional to 169,219.72, 253,712.94 and 80,398.36 is: 120,542.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,219.72 : 253,712.94 = 80,398.36 : x
  2. Step 2: Convert to fraction form
    169,219.72/253,712.94 = 80,398.36/x
  3. Step 3: Cross multiply
    169,219.72x = 253,712.94 × 80,398.36
  4. Step 4: Simplify right side
    169,219.72x = 20,398,104,286.78
  5. Step 5: Solve for x
    x = 20,398,104,286.78/169,219.72
  6. Step 6: Final answer
    x = 120,542.12

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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.