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Finding the Fourth Proportional to 71,807.60, 99,089.84 and 39,975.68

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Solution

The fourth proportional to 71,807.60, 99,089.84 and 39,975.68 is: 55,163.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,807.60 : 99,089.84 = 39,975.68 : x
  2. Step 2: Convert to fraction form
    71,807.60/99,089.84 = 39,975.68/x
  3. Step 3: Cross multiply
    71,807.60x = 99,089.84 × 39,975.68
  4. Step 4: Simplify right side
    71,807.60x = 3,961,183,735.09
  5. Step 5: Solve for x
    x = 3,961,183,735.09/71,807.60
  6. Step 6: Final answer
    x = 55,163.85

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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.