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Finding the Fourth Proportional to 206,902.56, 285,525.72 and 117,478.56

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Solution

The fourth proportional to 206,902.56, 285,525.72 and 117,478.56 is: 162,120.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,902.56 : 285,525.72 = 117,478.56 : x
  2. Step 2: Convert to fraction form
    206,902.56/285,525.72 = 117,478.56/x
  3. Step 3: Cross multiply
    206,902.56x = 285,525.72 × 117,478.56
  4. Step 4: Simplify right side
    206,902.56x = 33,543,150,428.56
  5. Step 5: Solve for x
    x = 33,543,150,428.56/206,902.56
  6. Step 6: Final answer
    x = 162,120.52

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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.