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Finding the Fourth Proportional to 135,000.30, 202,500.45 and 82,512.30

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Solution

The fourth proportional to 135,000.30, 202,500.45 and 82,512.30 is: 123,768.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,000.30 : 202,500.45 = 82,512.30 : x
  2. Step 2: Convert to fraction form
    135,000.30/202,500.45 = 82,512.30/x
  3. Step 3: Cross multiply
    135,000.30x = 202,500.45 × 82,512.30
  4. Step 4: Simplify right side
    135,000.30x = 16,708,777,880.54
  5. Step 5: Solve for x
    x = 16,708,777,880.54/135,000.30
  6. Step 6: Final answer
    x = 123,768.45

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Similar ratio
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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.