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Finding the Fourth Proportional to 86,584.64, 129,896.64 and 27,424

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Solution

The fourth proportional to 86,584.64, 129,896.64 and 27,424 is: 41,142.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,584.64 : 129,896.64 = 27,424 : x
  2. Step 2: Convert to fraction form
    86,584.64/129,896.64 = 27,424/x
  3. Step 3: Cross multiply
    86,584.64x = 129,896.64 × 27,424
  4. Step 4: Simplify right side
    86,584.64x = 3,562,285,455.36
  5. Step 5: Solve for x
    x = 3,562,285,455.36/86,584.64
  6. Step 6: Final answer
    x = 41,142.23

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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.