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Finding the Fourth Proportional to 53,100, 73,278 and 30,744

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Solution

The fourth proportional to 53,100, 73,278 and 30,744 is: 42,426.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,100 : 73,278 = 30,744 : x
  2. Step 2: Convert to fraction form
    53,100/73,278 = 30,744/x
  3. Step 3: Cross multiply
    53,100x = 73,278 × 30,744
  4. Step 4: Simplify right side
    53,100x = 2,252,858,832
  5. Step 5: Solve for x
    x = 2,252,858,832/53,100
  6. Step 6: Final answer
    x = 42,426.72

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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.