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Finding the Fourth Proportional to 218,253.78, 327,384.90 and 68,498.94

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Solution

The fourth proportional to 218,253.78, 327,384.90 and 68,498.94 is: 102,749.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,253.78 : 327,384.90 = 68,498.94 : x
  2. Step 2: Convert to fraction form
    218,253.78/327,384.90 = 68,498.94/x
  3. Step 3: Cross multiply
    218,253.78x = 327,384.90 × 68,498.94
  4. Step 4: Simplify right side
    218,253.78x = 22,425,518,622.01
  5. Step 5: Solve for x
    x = 22,425,518,622.01/218,253.78
  6. Step 6: Final answer
    x = 102,749.74

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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.