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Finding the Fourth Proportional to 120,483.84, 180,346.84 and 82,823.64

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Solution

The fourth proportional to 120,483.84, 180,346.84 and 82,823.64 is: 123,974.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,483.84 : 180,346.84 = 82,823.64 : x
  2. Step 2: Convert to fraction form
    120,483.84/180,346.84 = 82,823.64/x
  3. Step 3: Cross multiply
    120,483.84x = 180,346.84 × 82,823.64
  4. Step 4: Simplify right side
    120,483.84x = 14,936,981,751.30
  5. Step 5: Solve for x
    x = 14,936,981,751.30/120,483.84
  6. Step 6: Final answer
    x = 123,974.98

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1.5x scale

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.