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Finding the Fourth Proportional to 206,415.60, 284,879.88 and 121,540.56

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Solution

The fourth proportional to 206,415.60, 284,879.88 and 121,540.56 is: 167,741.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,415.60 : 284,879.88 = 121,540.56 : x
  2. Step 2: Convert to fraction form
    206,415.60/284,879.88 = 121,540.56/x
  3. Step 3: Cross multiply
    206,415.60x = 284,879.88 × 121,540.56
  4. Step 4: Simplify right side
    206,415.60x = 34,624,460,147.93
  5. Step 5: Solve for x
    x = 34,624,460,147.93/206,415.60
  6. Step 6: Final answer
    x = 167,741.49

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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.