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Finding the Fourth Proportional to 136,576.90, 204,865.35 and 83,815.30

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Solution

The fourth proportional to 136,576.90, 204,865.35 and 83,815.30 is: 125,722.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,576.90 : 204,865.35 = 83,815.30 : x
  2. Step 2: Convert to fraction form
    136,576.90/204,865.35 = 83,815.30/x
  3. Step 3: Cross multiply
    136,576.90x = 204,865.35 × 83,815.30
  4. Step 4: Simplify right side
    136,576.90x = 17,170,850,769.86
  5. Step 5: Solve for x
    x = 17,170,850,769.86/136,576.90
  6. Step 6: Final answer
    x = 125,722.95

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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.