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Finding the Fourth Proportional to 67,817.80, 101,733.18 and 21,058.12

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Solution

The fourth proportional to 67,817.80, 101,733.18 and 21,058.12 is: 31,589.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,817.80 : 101,733.18 = 21,058.12 : x
  2. Step 2: Convert to fraction form
    67,817.80/101,733.18 = 21,058.12/x
  3. Step 3: Cross multiply
    67,817.80x = 101,733.18 × 21,058.12
  4. Step 4: Simplify right side
    67,817.80x = 2,142,309,512.42
  5. Step 5: Solve for x
    x = 2,142,309,512.42/67,817.80
  6. Step 6: Final answer
    x = 31,589.19

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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.