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Finding the Fourth Proportional to 218,874, 328,354.20 and 69,137.40

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Solution

The fourth proportional to 218,874, 328,354.20 and 69,137.40 is: 103,719.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,874 : 328,354.20 = 69,137.40 : x
  2. Step 2: Convert to fraction form
    218,874/328,354.20 = 69,137.40/x
  3. Step 3: Cross multiply
    218,874x = 328,354.20 × 69,137.40
  4. Step 4: Simplify right side
    218,874x = 22,701,555,667.08
  5. Step 5: Solve for x
    x = 22,701,555,667.08/218,874
  6. Step 6: Final answer
    x = 103,719.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.