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Finding the Fourth Proportional to 49,578.75, 74,368.53 and 18,414

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Solution

The fourth proportional to 49,578.75, 74,368.53 and 18,414 is: 27,621.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,578.75 : 74,368.53 = 18,414 : x
  2. Step 2: Convert to fraction form
    49,578.75/74,368.53 = 18,414/x
  3. Step 3: Cross multiply
    49,578.75x = 74,368.53 × 18,414
  4. Step 4: Simplify right side
    49,578.75x = 1,369,422,111.42
  5. Step 5: Solve for x
    x = 1,369,422,111.42/49,578.75
  6. Step 6: Final answer
    x = 27,621.15

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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.