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Finding the Fourth Proportional to 218,874.30, 302,051.19 and 123,380.97

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Solution

The fourth proportional to 218,874.30, 302,051.19 and 123,380.97 is: 170,268.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,874.30 : 302,051.19 = 123,380.97 : x
  2. Step 2: Convert to fraction form
    218,874.30/302,051.19 = 123,380.97/x
  3. Step 3: Cross multiply
    218,874.30x = 302,051.19 × 123,380.97
  4. Step 4: Simplify right side
    218,874.30x = 37,267,368,811.85
  5. Step 5: Solve for x
    x = 37,267,368,811.85/218,874.30
  6. Step 6: Final answer
    x = 170,268.36

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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.