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Finding the Fourth Proportional to 219,114.16, 328,713.84 and 84,168.36

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Solution

The fourth proportional to 219,114.16, 328,713.84 and 84,168.36 is: 126,268.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,114.16 : 328,713.84 = 84,168.36 : x
  2. Step 2: Convert to fraction form
    219,114.16/328,713.84 = 84,168.36/x
  3. Step 3: Cross multiply
    219,114.16x = 328,713.84 × 84,168.36
  4. Step 4: Simplify right side
    219,114.16x = 27,667,304,401.26
  5. Step 5: Solve for x
    x = 27,667,304,401.26/219,114.16
  6. Step 6: Final answer
    x = 126,268.90

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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.