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Finding the Fourth Proportional to 86,027.70, 129,022.20 and 36,164.10

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Solution

The fourth proportional to 86,027.70, 129,022.20 and 36,164.10 is: 54,238.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,027.70 : 129,022.20 = 36,164.10 : x
  2. Step 2: Convert to fraction form
    86,027.70/129,022.20 = 36,164.10/x
  3. Step 3: Cross multiply
    86,027.70x = 129,022.20 × 36,164.10
  4. Step 4: Simplify right side
    86,027.70x = 4,665,971,743.02
  5. Step 5: Solve for x
    x = 4,665,971,743.02/86,027.70
  6. Step 6: Final answer
    x = 54,238.02

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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.