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Finding the Fourth Proportional to 218,389.55, 327,663.14 and 76,255.76

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Solution

The fourth proportional to 218,389.55, 327,663.14 and 76,255.76 is: 114,411.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,389.55 : 327,663.14 = 76,255.76 : x
  2. Step 2: Convert to fraction form
    218,389.55/327,663.14 = 76,255.76/x
  3. Step 3: Cross multiply
    218,389.55x = 327,663.14 × 76,255.76
  4. Step 4: Simplify right side
    218,389.55x = 24,986,202,202.57
  5. Step 5: Solve for x
    x = 24,986,202,202.57/218,389.55
  6. Step 6: Final answer
    x = 114,411.16

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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.