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Finding the Fourth Proportional to 53,767, 74,198.46 and 30,215

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Solution

The fourth proportional to 53,767, 74,198.46 and 30,215 is: 41,696.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,767 : 74,198.46 = 30,215 : x
  2. Step 2: Convert to fraction form
    53,767/74,198.46 = 30,215/x
  3. Step 3: Cross multiply
    53,767x = 74,198.46 × 30,215
  4. Step 4: Simplify right side
    53,767x = 2,241,906,468.90
  5. Step 5: Solve for x
    x = 2,241,906,468.90/53,767
  6. Step 6: Final answer
    x = 41,696.70

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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.