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Finding the Fourth Proportional to 71,977.52, 107,991.12 and 29,880.20

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Solution

The fourth proportional to 71,977.52, 107,991.12 and 29,880.20 is: 44,830.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,977.52 : 107,991.12 = 29,880.20 : x
  2. Step 2: Convert to fraction form
    71,977.52/107,991.12 = 29,880.20/x
  3. Step 3: Cross multiply
    71,977.52x = 107,991.12 × 29,880.20
  4. Step 4: Simplify right side
    71,977.52x = 3,226,796,263.82
  5. Step 5: Solve for x
    x = 3,226,796,263.82/71,977.52
  6. Step 6: Final answer
    x = 44,830.61

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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.