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Finding the Fourth Proportional to 80,768.68, 121,164.54 and 25,369

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Solution

The fourth proportional to 80,768.68, 121,164.54 and 25,369 is: 38,057.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,768.68 : 121,164.54 = 25,369 : x
  2. Step 2: Convert to fraction form
    80,768.68/121,164.54 = 25,369/x
  3. Step 3: Cross multiply
    80,768.68x = 121,164.54 × 25,369
  4. Step 4: Simplify right side
    80,768.68x = 3,073,823,215.26
  5. Step 5: Solve for x
    x = 3,073,823,215.26/80,768.68
  6. Step 6: Final answer
    x = 38,057.12

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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.