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Finding the Fourth Proportional to 218,136.40, 327,031.80 and 119,640.40

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Solution

The fourth proportional to 218,136.40, 327,031.80 and 119,640.40 is: 179,365.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,136.40 : 327,031.80 = 119,640.40 : x
  2. Step 2: Convert to fraction form
    218,136.40/327,031.80 = 119,640.40/x
  3. Step 3: Cross multiply
    218,136.40x = 327,031.80 × 119,640.40
  4. Step 4: Simplify right side
    218,136.40x = 39,126,215,364.72
  5. Step 5: Solve for x
    x = 39,126,215,364.72/218,136.40
  6. Step 6: Final answer
    x = 179,365.83

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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.