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Finding the Fourth Proportional to 71,817.20, 107,731.20 and 19,225.52

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Solution

The fourth proportional to 71,817.20, 107,731.20 and 19,225.52 is: 28,839.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,817.20 : 107,731.20 = 19,225.52 : x
  2. Step 2: Convert to fraction form
    71,817.20/107,731.20 = 19,225.52/x
  3. Step 3: Cross multiply
    71,817.20x = 107,731.20 × 19,225.52
  4. Step 4: Simplify right side
    71,817.20x = 2,071,188,340.22
  5. Step 5: Solve for x
    x = 2,071,188,340.22/71,817.20
  6. Step 6: Final answer
    x = 28,839.73

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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.