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Finding the Fourth Proportional to 71,396.30, 106,977.62 and 43,231.05

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Solution

The fourth proportional to 71,396.30, 106,977.62 and 43,231.05 is: 64,775.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,396.30 : 106,977.62 = 43,231.05 : x
  2. Step 2: Convert to fraction form
    71,396.30/106,977.62 = 43,231.05/x
  3. Step 3: Cross multiply
    71,396.30x = 106,977.62 × 43,231.05
  4. Step 4: Simplify right side
    71,396.30x = 4,624,754,947.18
  5. Step 5: Solve for x
    x = 4,624,754,947.18/71,396.30
  6. Step 6: Final answer
    x = 64,775.83

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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.