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Finding the Fourth Proportional to 86,892.39, 130,340.87 and 27,728

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Solution

The fourth proportional to 86,892.39, 130,340.87 and 27,728 is: 41,592.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,892.39 : 130,340.87 = 27,728 : x
  2. Step 2: Convert to fraction form
    86,892.39/130,340.87 = 27,728/x
  3. Step 3: Cross multiply
    86,892.39x = 130,340.87 × 27,728
  4. Step 4: Simplify right side
    86,892.39x = 3,614,091,643.36
  5. Step 5: Solve for x
    x = 3,614,091,643.36/86,892.39
  6. Step 6: Final answer
    x = 41,592.73

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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.