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Finding the Fourth Proportional to 85,836.40, 128,754.60 and 82,337.20

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Solution

The fourth proportional to 85,836.40, 128,754.60 and 82,337.20 is: 123,505.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,836.40 : 128,754.60 = 82,337.20 : x
  2. Step 2: Convert to fraction form
    85,836.40/128,754.60 = 82,337.20/x
  3. Step 3: Cross multiply
    85,836.40x = 128,754.60 × 82,337.20
  4. Step 4: Simplify right side
    85,836.40x = 10,601,293,251.12
  5. Step 5: Solve for x
    x = 10,601,293,251.12/85,836.40
  6. Step 6: Final answer
    x = 123,505.80

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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.