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Finding the Fourth Proportional to 99,791.25, 149,655.74 and 33,215.81

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Solution

The fourth proportional to 99,791.25, 149,655.74 and 33,215.81 is: 49,813.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,791.25 : 149,655.74 = 33,215.81 : x
  2. Step 2: Convert to fraction form
    99,791.25/149,655.74 = 33,215.81/x
  3. Step 3: Cross multiply
    99,791.25x = 149,655.74 × 33,215.81
  4. Step 4: Simplify right side
    99,791.25x = 4,970,937,082.43
  5. Step 5: Solve for x
    x = 4,970,937,082.43/99,791.25
  6. Step 6: Final answer
    x = 49,813.36

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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.