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Finding the Fourth Proportional to 218,689.48, 328,033.50 and 68,942.86

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Solution

The fourth proportional to 218,689.48, 328,033.50 and 68,942.86 is: 103,414.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,689.48 : 328,033.50 = 68,942.86 : x
  2. Step 2: Convert to fraction form
    218,689.48/328,033.50 = 68,942.86/x
  3. Step 3: Cross multiply
    218,689.48x = 328,033.50 × 68,942.86
  4. Step 4: Simplify right side
    218,689.48x = 22,615,567,665.81
  5. Step 5: Solve for x
    x = 22,615,567,665.81/218,689.48
  6. Step 6: Final answer
    x = 103,414.06

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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.