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Finding the Fourth Proportional to 54,717.78, 75,506 and 30,850.32

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Solution

The fourth proportional to 54,717.78, 75,506 and 30,850.32 is: 42,570.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,717.78 : 75,506 = 30,850.32 : x
  2. Step 2: Convert to fraction form
    54,717.78/75,506 = 30,850.32/x
  3. Step 3: Cross multiply
    54,717.78x = 75,506 × 30,850.32
  4. Step 4: Simplify right side
    54,717.78x = 2,329,384,261.92
  5. Step 5: Solve for x
    x = 2,329,384,261.92/54,717.78
  6. Step 6: Final answer
    x = 42,570.88

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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.