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Finding the Fourth Proportional to 120,109, 180,163.50 and 32,557

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Solution

The fourth proportional to 120,109, 180,163.50 and 32,557 is: 48,835.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,109 : 180,163.50 = 32,557 : x
  2. Step 2: Convert to fraction form
    120,109/180,163.50 = 32,557/x
  3. Step 3: Cross multiply
    120,109x = 180,163.50 × 32,557
  4. Step 4: Simplify right side
    120,109x = 5,865,583,069.50
  5. Step 5: Solve for x
    x = 5,865,583,069.50/120,109
  6. Step 6: Final answer
    x = 48,835.50

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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.