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Finding the Fourth Proportional to 146,306.88, 201,900 and 82,642.56

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Solution

The fourth proportional to 146,306.88, 201,900 and 82,642.56 is: 114,044.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,306.88 : 201,900 = 82,642.56 : x
  2. Step 2: Convert to fraction form
    146,306.88/201,900 = 82,642.56/x
  3. Step 3: Cross multiply
    146,306.88x = 201,900 × 82,642.56
  4. Step 4: Simplify right side
    146,306.88x = 16,685,532,864
  5. Step 5: Solve for x
    x = 16,685,532,864/146,306.88
  6. Step 6: Final answer
    x = 114,044.76

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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.