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Finding the Fourth Proportional to 81,016.48, 121,524.90 and 28,414

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Solution

The fourth proportional to 81,016.48, 121,524.90 and 28,414 is: 42,621.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,016.48 : 121,524.90 = 28,414 : x
  2. Step 2: Convert to fraction form
    81,016.48/121,524.90 = 28,414/x
  3. Step 3: Cross multiply
    81,016.48x = 121,524.90 × 28,414
  4. Step 4: Simplify right side
    81,016.48x = 3,453,008,508.60
  5. Step 5: Solve for x
    x = 3,453,008,508.60/81,016.48
  6. Step 6: Final answer
    x = 42,621.06

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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.