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Finding the Fourth Proportional to 148,263, 204,603.66 and 81,195

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Solution

The fourth proportional to 148,263, 204,603.66 and 81,195 is: 112,049.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,263 : 204,603.66 = 81,195 : x
  2. Step 2: Convert to fraction form
    148,263/204,603.66 = 81,195/x
  3. Step 3: Cross multiply
    148,263x = 204,603.66 × 81,195
  4. Step 4: Simplify right side
    148,263x = 16,612,794,173.70
  5. Step 5: Solve for x
    x = 16,612,794,173.70/148,263
  6. Step 6: Final answer
    x = 112,049.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.