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Finding the Fourth Proportional to 86,164.73, 129,247.13 and 27,005

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Solution

The fourth proportional to 86,164.73, 129,247.13 and 27,005 is: 40,507.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,164.73 : 129,247.13 = 27,005 : x
  2. Step 2: Convert to fraction form
    86,164.73/129,247.13 = 27,005/x
  3. Step 3: Cross multiply
    86,164.73x = 129,247.13 × 27,005
  4. Step 4: Simplify right side
    86,164.73x = 3,490,318,745.65
  5. Step 5: Solve for x
    x = 3,490,318,745.65/86,164.73
  6. Step 6: Final answer
    x = 40,507.51

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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.