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Finding the Fourth Proportional to 146,306, 201,902.28 and 79,238

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Solution

The fourth proportional to 146,306, 201,902.28 and 79,238 is: 109,348.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,306 : 201,902.28 = 79,238 : x
  2. Step 2: Convert to fraction form
    146,306/201,902.28 = 79,238/x
  3. Step 3: Cross multiply
    146,306x = 201,902.28 × 79,238
  4. Step 4: Simplify right side
    146,306x = 15,998,332,862.64
  5. Step 5: Solve for x
    x = 15,998,332,862.64/146,306
  6. Step 6: Final answer
    x = 109,348.44

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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.