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Finding the Fourth Proportional to 49,523.22, 74,280.84 and 19,920.12

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Solution

The fourth proportional to 49,523.22, 74,280.84 and 19,920.12 is: 29,878.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,523.22 : 74,280.84 = 19,920.12 : x
  2. Step 2: Convert to fraction form
    49,523.22/74,280.84 = 19,920.12/x
  3. Step 3: Cross multiply
    49,523.22x = 74,280.84 × 19,920.12
  4. Step 4: Simplify right side
    49,523.22x = 1,479,683,246.50
  5. Step 5: Solve for x
    x = 1,479,683,246.50/49,523.22
  6. Step 6: Final answer
    x = 29,878.58

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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.