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Finding the Fourth Proportional to 71,907.96, 99,231.69 and 39,202.68

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Solution

The fourth proportional to 71,907.96, 99,231.69 and 39,202.68 is: 54,098.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,907.96 : 99,231.69 = 39,202.68 : x
  2. Step 2: Convert to fraction form
    71,907.96/99,231.69 = 39,202.68/x
  3. Step 3: Cross multiply
    71,907.96x = 99,231.69 × 39,202.68
  4. Step 4: Simplify right side
    71,907.96x = 3,890,148,188.93
  5. Step 5: Solve for x
    x = 3,890,148,188.93/71,907.96
  6. Step 6: Final answer
    x = 54,098.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.