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Finding the Fourth Proportional to 67,967.38, 101,947.47 and 21,214.90

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Solution

The fourth proportional to 67,967.38, 101,947.47 and 21,214.90 is: 31,821.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,967.38 : 101,947.47 = 21,214.90 : x
  2. Step 2: Convert to fraction form
    67,967.38/101,947.47 = 21,214.90/x
  3. Step 3: Cross multiply
    67,967.38x = 101,947.47 × 21,214.90
  4. Step 4: Simplify right side
    67,967.38x = 2,162,805,381.30
  5. Step 5: Solve for x
    x = 2,162,805,381.30/67,967.38
  6. Step 6: Final answer
    x = 31,821.23

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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.