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Finding the Fourth Proportional to 39,205, 54,102.90 and 21,541

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Solution

The fourth proportional to 39,205, 54,102.90 and 21,541 is: 29,726.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,205 : 54,102.90 = 21,541 : x
  2. Step 2: Convert to fraction form
    39,205/54,102.90 = 21,541/x
  3. Step 3: Cross multiply
    39,205x = 54,102.90 × 21,541
  4. Step 4: Simplify right side
    39,205x = 1,165,430,568.90
  5. Step 5: Solve for x
    x = 1,165,430,568.90/39,205
  6. Step 6: Final answer
    x = 29,726.58

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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.