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Finding the Fourth Proportional to 156,163.50, 234,251.82 and 45,355.50

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Solution

The fourth proportional to 156,163.50, 234,251.82 and 45,355.50 is: 68,035.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,163.50 : 234,251.82 = 45,355.50 : x
  2. Step 2: Convert to fraction form
    156,163.50/234,251.82 = 45,355.50/x
  3. Step 3: Cross multiply
    156,163.50x = 234,251.82 × 45,355.50
  4. Step 4: Simplify right side
    156,163.50x = 10,624,608,422.01
  5. Step 5: Solve for x
    x = 10,624,608,422.01/156,163.50
  6. Step 6: Final answer
    x = 68,035.16

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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.