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Finding the Fourth Proportional to 218,234.86, 301,161.14 and 122,741.53

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Solution

The fourth proportional to 218,234.86, 301,161.14 and 122,741.53 is: 169,381.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,234.86 : 301,161.14 = 122,741.53 : x
  2. Step 2: Convert to fraction form
    218,234.86/301,161.14 = 122,741.53/x
  3. Step 3: Cross multiply
    218,234.86x = 301,161.14 × 122,741.53
  4. Step 4: Simplify right side
    218,234.86x = 36,964,978,193.81
  5. Step 5: Solve for x
    x = 36,964,978,193.81/218,234.86
  6. Step 6: Final answer
    x = 169,381.64

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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.