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Finding the Fourth Proportional to 99,365, 149,046.30 and 40,200.20

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Solution

The fourth proportional to 99,365, 149,046.30 and 40,200.20 is: 60,299.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,365 : 149,046.30 = 40,200.20 : x
  2. Step 2: Convert to fraction form
    99,365/149,046.30 = 40,200.20/x
  3. Step 3: Cross multiply
    99,365x = 149,046.30 × 40,200.20
  4. Step 4: Simplify right side
    99,365x = 5,991,691,069.26
  5. Step 5: Solve for x
    x = 5,991,691,069.26/99,365
  6. Step 6: Final answer
    x = 60,299.81

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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.