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Finding the Fourth Proportional to 68,159.10, 102,238.65 and 47,163.90

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Solution

The fourth proportional to 68,159.10, 102,238.65 and 47,163.90 is: 70,745.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,159.10 : 102,238.65 = 47,163.90 : x
  2. Step 2: Convert to fraction form
    68,159.10/102,238.65 = 47,163.90/x
  3. Step 3: Cross multiply
    68,159.10x = 102,238.65 × 47,163.90
  4. Step 4: Simplify right side
    68,159.10x = 4,821,973,464.74
  5. Step 5: Solve for x
    x = 4,821,973,464.74/68,159.10
  6. Step 6: Final answer
    x = 70,745.85

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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.