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Finding the Fourth Proportional to 71,325, 106,987.38 and 21,405

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Solution

The fourth proportional to 71,325, 106,987.38 and 21,405 is: 32,107.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,325 : 106,987.38 = 21,405 : x
  2. Step 2: Convert to fraction form
    71,325/106,987.38 = 21,405/x
  3. Step 3: Cross multiply
    71,325x = 106,987.38 × 21,405
  4. Step 4: Simplify right side
    71,325x = 2,290,064,868.90
  5. Step 5: Solve for x
    x = 2,290,064,868.90/71,325
  6. Step 6: Final answer
    x = 32,107.46

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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.