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Finding the Fourth Proportional to 51,224, 76,866.24 and 21,639.92

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Solution

The fourth proportional to 51,224, 76,866.24 and 21,639.92 is: 32,472.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,224 : 76,866.24 = 21,639.92 : x
  2. Step 2: Convert to fraction form
    51,224/76,866.24 = 21,639.92/x
  3. Step 3: Cross multiply
    51,224x = 76,866.24 × 21,639.92
  4. Step 4: Simplify right side
    51,224x = 1,663,379,284.30
  5. Step 5: Solve for x
    x = 1,663,379,284.30/51,224
  6. Step 6: Final answer
    x = 32,472.66

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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.