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Finding the Fourth Proportional to 146,589.20, 219,883.80 and 131,814.80

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Solution

The fourth proportional to 146,589.20, 219,883.80 and 131,814.80 is: 197,722.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,589.20 : 219,883.80 = 131,814.80 : x
  2. Step 2: Convert to fraction form
    146,589.20/219,883.80 = 131,814.80/x
  3. Step 3: Cross multiply
    146,589.20x = 219,883.80 × 131,814.80
  4. Step 4: Simplify right side
    146,589.20x = 28,983,939,120.24
  5. Step 5: Solve for x
    x = 28,983,939,120.24/146,589.20
  6. Step 6: Final answer
    x = 197,722.20

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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.