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Finding the Fourth Proportional to 206,829.72, 285,424.74 and 116,188.20

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Solution

The fourth proportional to 206,829.72, 285,424.74 and 116,188.20 is: 160,339.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,829.72 : 285,424.74 = 116,188.20 : x
  2. Step 2: Convert to fraction form
    206,829.72/285,424.74 = 116,188.20/x
  3. Step 3: Cross multiply
    206,829.72x = 285,424.74 × 116,188.20
  4. Step 4: Simplify right side
    206,829.72x = 33,162,986,776.07
  5. Step 5: Solve for x
    x = 33,162,986,776.07/206,829.72
  6. Step 6: Final answer
    x = 160,339.56

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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.