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Finding the Fourth Proportional to 136,275, 204,576.66 and 98,352.42

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Solution

The fourth proportional to 136,275, 204,576.66 and 98,352.42 is: 147,647.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,275 : 204,576.66 = 98,352.42 : x
  2. Step 2: Convert to fraction form
    136,275/204,576.66 = 98,352.42/x
  3. Step 3: Cross multiply
    136,275x = 204,576.66 × 98,352.42
  4. Step 4: Simplify right side
    136,275x = 20,120,609,586.52
  5. Step 5: Solve for x
    x = 20,120,609,586.52/136,275
  6. Step 6: Final answer
    x = 147,647.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.