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Finding the Fourth Proportional to 71,858.88, 99,156.96 and 40,022.64

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Solution

The fourth proportional to 71,858.88, 99,156.96 and 40,022.64 is: 55,226.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,858.88 : 99,156.96 = 40,022.64 : x
  2. Step 2: Convert to fraction form
    71,858.88/99,156.96 = 40,022.64/x
  3. Step 3: Cross multiply
    71,858.88x = 99,156.96 × 40,022.64
  4. Step 4: Simplify right side
    71,858.88x = 3,968,523,313.57
  5. Step 5: Solve for x
    x = 3,968,523,313.57/71,858.88
  6. Step 6: Final answer
    x = 55,226.62

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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.