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Finding the Fourth Proportional to 72,396.45, 108,564.57 and 27,997.61

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Solution

The fourth proportional to 72,396.45, 108,564.57 and 27,997.61 is: 41,984.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,396.45 : 108,564.57 = 27,997.61 : x
  2. Step 2: Convert to fraction form
    72,396.45/108,564.57 = 27,997.61/x
  3. Step 3: Cross multiply
    72,396.45x = 108,564.57 × 27,997.61
  4. Step 4: Simplify right side
    72,396.45x = 3,039,547,947.85
  5. Step 5: Solve for x
    x = 3,039,547,947.85/72,396.45
  6. Step 6: Final answer
    x = 41,984.77

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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.