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Finding the Fourth Proportional to 49,241.44, 73,862.16 and 21,520

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Solution

The fourth proportional to 49,241.44, 73,862.16 and 21,520 is: 32,280

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,241.44 : 73,862.16 = 21,520 : x
  2. Step 2: Convert to fraction form
    49,241.44/73,862.16 = 21,520/x
  3. Step 3: Cross multiply
    49,241.44x = 73,862.16 × 21,520
  4. Step 4: Simplify right side
    49,241.44x = 1,589,513,683.20
  5. Step 5: Solve for x
    x = 1,589,513,683.20/49,241.44
  6. Step 6: Final answer
    x = 32,280

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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.