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Finding the Fourth Proportional to 85,786.56, 128,647.44 and 41,398.56

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Solution

The fourth proportional to 85,786.56, 128,647.44 and 41,398.56 is: 62,082.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,786.56 : 128,647.44 = 41,398.56 : x
  2. Step 2: Convert to fraction form
    85,786.56/128,647.44 = 41,398.56/x
  3. Step 3: Cross multiply
    85,786.56x = 128,647.44 × 41,398.56
  4. Step 4: Simplify right side
    85,786.56x = 5,325,818,763.69
  5. Step 5: Solve for x
    x = 5,325,818,763.69/85,786.56
  6. Step 6: Final answer
    x = 62,082.20

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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.