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Finding the Fourth Proportional to 83,221.96, 124,807.02 and 27,805

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Solution

The fourth proportional to 83,221.96, 124,807.02 and 27,805 is: 41,698.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,221.96 : 124,807.02 = 27,805 : x
  2. Step 2: Convert to fraction form
    83,221.96/124,807.02 = 27,805/x
  3. Step 3: Cross multiply
    83,221.96x = 124,807.02 × 27,805
  4. Step 4: Simplify right side
    83,221.96x = 3,470,259,191.10
  5. Step 5: Solve for x
    x = 3,470,259,191.10/83,221.96
  6. Step 6: Final answer
    x = 41,698.84

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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.