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Finding the Fourth Proportional to 90,648.30, 135,972.45 and 82,337.70

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Solution

The fourth proportional to 90,648.30, 135,972.45 and 82,337.70 is: 123,506.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,648.30 : 135,972.45 = 82,337.70 : x
  2. Step 2: Convert to fraction form
    90,648.30/135,972.45 = 82,337.70/x
  3. Step 3: Cross multiply
    90,648.30x = 135,972.45 × 82,337.70
  4. Step 4: Simplify right side
    90,648.30x = 11,195,658,796.37
  5. Step 5: Solve for x
    x = 11,195,658,796.37/90,648.30
  6. Step 6: Final answer
    x = 123,506.55

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1.5x scale

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.