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Finding the Fourth Proportional to 218,406.70, 327,594.24 and 68,689.81

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Solution

The fourth proportional to 218,406.70, 327,594.24 and 68,689.81 is: 103,029.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,406.70 : 327,594.24 = 68,689.81 : x
  2. Step 2: Convert to fraction form
    218,406.70/327,594.24 = 68,689.81/x
  3. Step 3: Cross multiply
    218,406.70x = 327,594.24 × 68,689.81
  4. Step 4: Simplify right side
    218,406.70x = 22,502,386,102.69
  5. Step 5: Solve for x
    x = 22,502,386,102.69/218,406.70
  6. Step 6: Final answer
    x = 103,029.74

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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.