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Finding the Fourth Proportional to 120,102, 180,153 and 32,550

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Solution

The fourth proportional to 120,102, 180,153 and 32,550 is: 48,825

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,102 : 180,153 = 32,550 : x
  2. Step 2: Convert to fraction form
    120,102/180,153 = 32,550/x
  3. Step 3: Cross multiply
    120,102x = 180,153 × 32,550
  4. Step 4: Simplify right side
    120,102x = 5,863,980,150
  5. Step 5: Solve for x
    x = 5,863,980,150/120,102
  6. Step 6: Final answer
    x = 48,825

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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.