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Finding the Fourth Proportional to 120,110, 180,165 and 32,558

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Solution

The fourth proportional to 120,110, 180,165 and 32,558 is: 48,837

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,110 : 180,165 = 32,558 : x
  2. Step 2: Convert to fraction form
    120,110/180,165 = 32,558/x
  3. Step 3: Cross multiply
    120,110x = 180,165 × 32,558
  4. Step 4: Simplify right side
    120,110x = 5,865,812,070
  5. Step 5: Solve for x
    x = 5,865,812,070/120,110
  6. Step 6: Final answer
    x = 48,837

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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.