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Finding the Fourth Proportional to 218,619.78, 327,898.53 and 68,856.18

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Solution

The fourth proportional to 218,619.78, 327,898.53 and 68,856.18 is: 103,274.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,619.78 : 327,898.53 = 68,856.18 : x
  2. Step 2: Convert to fraction form
    218,619.78/327,898.53 = 68,856.18/x
  3. Step 3: Cross multiply
    218,619.78x = 327,898.53 × 68,856.18
  4. Step 4: Simplify right side
    218,619.78x = 22,577,840,203.42
  5. Step 5: Solve for x
    x = 22,577,840,203.42/218,619.78
  6. Step 6: Final answer
    x = 103,274.46

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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.