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Finding the Fourth Proportional to 54,492, 75,199 and 30,618.64

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Solution

The fourth proportional to 54,492, 75,199 and 30,618.64 is: 42,253.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,492 : 75,199 = 30,618.64 : x
  2. Step 2: Convert to fraction form
    54,492/75,199 = 30,618.64/x
  3. Step 3: Cross multiply
    54,492x = 75,199 × 30,618.64
  4. Step 4: Simplify right side
    54,492x = 2,302,491,109.36
  5. Step 5: Solve for x
    x = 2,302,491,109.36/54,492
  6. Step 6: Final answer
    x = 42,253.75

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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.