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Finding the Fourth Proportional to 120,364, 180,546 and 32,812

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Solution

The fourth proportional to 120,364, 180,546 and 32,812 is: 49,218

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,364 : 180,546 = 32,812 : x
  2. Step 2: Convert to fraction form
    120,364/180,546 = 32,812/x
  3. Step 3: Cross multiply
    120,364x = 180,546 × 32,812
  4. Step 4: Simplify right side
    120,364x = 5,924,075,352
  5. Step 5: Solve for x
    x = 5,924,075,352/120,364
  6. Step 6: Final answer
    x = 49,218

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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.