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Finding the Fourth Proportional to 218,118, 300,999.96 and 121,321.20

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Solution

The fourth proportional to 218,118, 300,999.96 and 121,321.20 is: 167,421.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,118 : 300,999.96 = 121,321.20 : x
  2. Step 2: Convert to fraction form
    218,118/300,999.96 = 121,321.20/x
  3. Step 3: Cross multiply
    218,118x = 300,999.96 × 121,321.20
  4. Step 4: Simplify right side
    218,118x = 36,517,676,347.15
  5. Step 5: Solve for x
    x = 36,517,676,347.15/218,118
  6. Step 6: Final answer
    x = 167,421.65

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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.