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Finding the Fourth Proportional to 83,209, 124,813.52 and 27,805

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Solution

The fourth proportional to 83,209, 124,813.52 and 27,805 is: 41,707.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,209 : 124,813.52 = 27,805 : x
  2. Step 2: Convert to fraction form
    83,209/124,813.52 = 27,805/x
  3. Step 3: Cross multiply
    83,209x = 124,813.52 × 27,805
  4. Step 4: Simplify right side
    83,209x = 3,470,439,923.60
  5. Step 5: Solve for x
    x = 3,470,439,923.60/83,209
  6. Step 6: Final answer
    x = 41,707.51

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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.