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Finding the Fourth Proportional to 49,618.62, 74,384.19 and 18,432

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Solution

The fourth proportional to 49,618.62, 74,384.19 and 18,432 is: 27,631.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,618.62 : 74,384.19 = 18,432 : x
  2. Step 2: Convert to fraction form
    49,618.62/74,384.19 = 18,432/x
  3. Step 3: Cross multiply
    49,618.62x = 74,384.19 × 18,432
  4. Step 4: Simplify right side
    49,618.62x = 1,371,049,390.08
  5. Step 5: Solve for x
    x = 1,371,049,390.08/49,618.62
  6. Step 6: Final answer
    x = 27,631.75

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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.