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Finding the Fourth Proportional to 217,858.41, 300,643.85 and 121,061.86

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Solution

The fourth proportional to 217,858.41, 300,643.85 and 121,061.86 is: 167,064.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,858.41 : 300,643.85 = 121,061.86 : x
  2. Step 2: Convert to fraction form
    217,858.41/300,643.85 = 121,061.86/x
  3. Step 3: Cross multiply
    217,858.41x = 300,643.85 × 121,061.86
  4. Step 4: Simplify right side
    217,858.41x = 36,396,503,229.61
  5. Step 5: Solve for x
    x = 36,396,503,229.61/217,858.41
  6. Step 6: Final answer
    x = 167,064.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.