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Finding the Fourth Proportional to 218,142.60, 327,149.10 and 84,946.20

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Solution

The fourth proportional to 218,142.60, 327,149.10 and 84,946.20 is: 127,394.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,142.60 : 327,149.10 = 84,946.20 : x
  2. Step 2: Convert to fraction form
    218,142.60/327,149.10 = 84,946.20/x
  3. Step 3: Cross multiply
    218,142.60x = 327,149.10 × 84,946.20
  4. Step 4: Simplify right side
    218,142.60x = 27,790,072,878.42
  5. Step 5: Solve for x
    x = 27,790,072,878.42/218,142.60
  6. Step 6: Final answer
    x = 127,394.07

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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.