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Finding the Fourth Proportional to 48,870.74, 73,306.29 and 20,786.78

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Solution

The fourth proportional to 48,870.74, 73,306.29 and 20,786.78 is: 31,180.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,870.74 : 73,306.29 = 20,786.78 : x
  2. Step 2: Convert to fraction form
    48,870.74/73,306.29 = 20,786.78/x
  3. Step 3: Cross multiply
    48,870.74x = 73,306.29 × 20,786.78
  4. Step 4: Simplify right side
    48,870.74x = 1,523,801,722.85
  5. Step 5: Solve for x
    x = 1,523,801,722.85/48,870.74
  6. Step 6: Final answer
    x = 31,180.25

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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.