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Finding the Fourth Proportional to 99,825.81, 149,745.89 and 31,431.48

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Solution

The fourth proportional to 99,825.81, 149,745.89 and 31,431.48 is: 47,149.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,825.81 : 149,745.89 = 31,431.48 : x
  2. Step 2: Convert to fraction form
    99,825.81/149,745.89 = 31,431.48/x
  3. Step 3: Cross multiply
    99,825.81x = 149,745.89 × 31,431.48
  4. Step 4: Simplify right side
    99,825.81x = 4,706,734,946.62
  5. Step 5: Solve for x
    x = 4,706,734,946.62/99,825.81
  6. Step 6: Final answer
    x = 47,149.48

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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.