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Finding the Fourth Proportional to 206,505.12, 285,004.80 and 121,621.44

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Solution

The fourth proportional to 206,505.12, 285,004.80 and 121,621.44 is: 167,853.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,505.12 : 285,004.80 = 121,621.44 : x
  2. Step 2: Convert to fraction form
    206,505.12/285,004.80 = 121,621.44/x
  3. Step 3: Cross multiply
    206,505.12x = 285,004.80 × 121,621.44
  4. Step 4: Simplify right side
    206,505.12x = 34,662,694,182.91
  5. Step 5: Solve for x
    x = 34,662,694,182.91/206,505.12
  6. Step 6: Final answer
    x = 167,853.92

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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.