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Finding the Fourth Proportional to 218,311.20, 301,256.82 and 122,813.82

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Solution

The fourth proportional to 218,311.20, 301,256.82 and 122,813.82 is: 169,475.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,311.20 : 301,256.82 = 122,813.82 : x
  2. Step 2: Convert to fraction form
    218,311.20/301,256.82 = 122,813.82/x
  3. Step 3: Cross multiply
    218,311.20x = 301,256.82 × 122,813.82
  4. Step 4: Simplify right side
    218,311.20x = 36,998,500,865.25
  5. Step 5: Solve for x
    x = 36,998,500,865.25/218,311.20
  6. Step 6: Final answer
    x = 169,475.96

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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.