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Finding the Fourth Proportional to 80,872.96, 121,322.64 and 25,456

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Solution

The fourth proportional to 80,872.96, 121,322.64 and 25,456 is: 38,188.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,872.96 : 121,322.64 = 25,456 : x
  2. Step 2: Convert to fraction form
    80,872.96/121,322.64 = 25,456/x
  3. Step 3: Cross multiply
    80,872.96x = 121,322.64 × 25,456
  4. Step 4: Simplify right side
    80,872.96x = 3,088,389,123.84
  5. Step 5: Solve for x
    x = 3,088,389,123.84/80,872.96
  6. Step 6: Final answer
    x = 38,188.15

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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.