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Finding the Fourth Proportional to 71,143.20, 106,720.20 and 21,219.40

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Solution

The fourth proportional to 71,143.20, 106,720.20 and 21,219.40 is: 31,830.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,143.20 : 106,720.20 = 21,219.40 : x
  2. Step 2: Convert to fraction form
    71,143.20/106,720.20 = 21,219.40/x
  3. Step 3: Cross multiply
    71,143.20x = 106,720.20 × 21,219.40
  4. Step 4: Simplify right side
    71,143.20x = 2,264,538,611.88
  5. Step 5: Solve for x
    x = 2,264,538,611.88/71,143.20
  6. Step 6: Final answer
    x = 31,830.71

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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.