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Finding the Fourth Proportional to 71,880.12, 107,841.24 and 36,844.20

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Solution

The fourth proportional to 71,880.12, 107,841.24 and 36,844.20 is: 55,277.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,880.12 : 107,841.24 = 36,844.20 : x
  2. Step 2: Convert to fraction form
    71,880.12/107,841.24 = 36,844.20/x
  3. Step 3: Cross multiply
    71,880.12x = 107,841.24 × 36,844.20
  4. Step 4: Simplify right side
    71,880.12x = 3,973,324,214.81
  5. Step 5: Solve for x
    x = 3,973,324,214.81/71,880.12
  6. Step 6: Final answer
    x = 55,277.09

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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.