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Finding the Fourth Proportional to 206,506.46, 285,269.24 and 159,365.68

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Solution

The fourth proportional to 206,506.46, 285,269.24 and 159,365.68 is: 220,148.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,506.46 : 285,269.24 = 159,365.68 : x
  2. Step 2: Convert to fraction form
    206,506.46/285,269.24 = 159,365.68/x
  3. Step 3: Cross multiply
    206,506.46x = 285,269.24 × 159,365.68
  4. Step 4: Simplify right side
    206,506.46x = 45,462,126,100.92
  5. Step 5: Solve for x
    x = 45,462,126,100.92/206,506.46
  6. Step 6: Final answer
    x = 220,148.68

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1.5x scale

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.