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Finding the Fourth Proportional to 54,839, 75,676.12 and 30,964.24

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Solution

The fourth proportional to 54,839, 75,676.12 and 30,964.24 is: 42,729.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,839 : 75,676.12 = 30,964.24 : x
  2. Step 2: Convert to fraction form
    54,839/75,676.12 = 30,964.24/x
  3. Step 3: Cross multiply
    54,839x = 75,676.12 × 30,964.24
  4. Step 4: Simplify right side
    54,839x = 2,343,253,541.95
  5. Step 5: Solve for x
    x = 2,343,253,541.95/54,839
  6. Step 6: Final answer
    x = 42,729.69

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1.5x scale

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.