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Finding the Fourth Proportional to 218,874.80, 302,051.87 and 123,381.47

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Solution

The fourth proportional to 218,874.80, 302,051.87 and 123,381.47 is: 170,269.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,874.80 : 302,051.87 = 123,381.47 : x
  2. Step 2: Convert to fraction form
    218,874.80/302,051.87 = 123,381.47/x
  3. Step 3: Cross multiply
    218,874.80x = 302,051.87 × 123,381.47
  4. Step 4: Simplify right side
    218,874.80x = 37,267,603,736.85
  5. Step 5: Solve for x
    x = 37,267,603,736.85/218,874.80
  6. Step 6: Final answer
    x = 170,269.05

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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.