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Finding the Fourth Proportional to 206,576.47, 285,074.40 and 115,932.34

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Solution

The fourth proportional to 206,576.47, 285,074.40 and 115,932.34 is: 159,986.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,576.47 : 285,074.40 = 115,932.34 : x
  2. Step 2: Convert to fraction form
    206,576.47/285,074.40 = 115,932.34/x
  3. Step 3: Cross multiply
    206,576.47x = 285,074.40 × 115,932.34
  4. Step 4: Simplify right side
    206,576.47x = 33,049,342,266.10
  5. Step 5: Solve for x
    x = 33,049,342,266.10/206,576.47
  6. Step 6: Final answer
    x = 159,986.00

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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.