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Finding the Fourth Proportional to 99,866.12, 149,797.65 and 29,745.43

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Solution

The fourth proportional to 99,866.12, 149,797.65 and 29,745.43 is: 44,617.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,866.12 : 149,797.65 = 29,745.43 : x
  2. Step 2: Convert to fraction form
    99,866.12/149,797.65 = 29,745.43/x
  3. Step 3: Cross multiply
    99,866.12x = 149,797.65 × 29,745.43
  4. Step 4: Simplify right side
    99,866.12x = 4,455,795,249.29
  5. Step 5: Solve for x
    x = 4,455,795,249.29/99,866.12
  6. Step 6: Final answer
    x = 44,617.69

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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.