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Finding the Fourth Proportional to 146,818.40, 220,234.80 and 76,834.40

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Solution

The fourth proportional to 146,818.40, 220,234.80 and 76,834.40 is: 115,255.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,818.40 : 220,234.80 = 76,834.40 : x
  2. Step 2: Convert to fraction form
    146,818.40/220,234.80 = 76,834.40/x
  3. Step 3: Cross multiply
    146,818.40x = 220,234.80 × 76,834.40
  4. Step 4: Simplify right side
    146,818.40x = 16,921,608,717.12
  5. Step 5: Solve for x
    x = 16,921,608,717.12/146,818.40
  6. Step 6: Final answer
    x = 115,255.37

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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.