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Finding the Fourth Proportional to 48,422, 66,826 and 29,562.78

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Solution

The fourth proportional to 48,422, 66,826 and 29,562.78 is: 40,798.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,422 : 66,826 = 29,562.78 : x
  2. Step 2: Convert to fraction form
    48,422/66,826 = 29,562.78/x
  3. Step 3: Cross multiply
    48,422x = 66,826 × 29,562.78
  4. Step 4: Simplify right side
    48,422x = 1,975,562,336.28
  5. Step 5: Solve for x
    x = 1,975,562,336.28/48,422
  6. Step 6: Final answer
    x = 40,798.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.