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Finding the Fourth Proportional to 54,754.88, 82,119.76 and 15,314.78

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Solution

The fourth proportional to 54,754.88, 82,119.76 and 15,314.78 is: 22,968.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,754.88 : 82,119.76 = 15,314.78 : x
  2. Step 2: Convert to fraction form
    54,754.88/82,119.76 = 15,314.78/x
  3. Step 3: Cross multiply
    54,754.88x = 82,119.76 × 15,314.78
  4. Step 4: Simplify right side
    54,754.88x = 1,257,646,058.05
  5. Step 5: Solve for x
    x = 1,257,646,058.05/54,754.88
  6. Step 6: Final answer
    x = 22,968.66

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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.