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Finding the Fourth Proportional to 133,633.10, 200,257.80 and 80,346.84

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Solution

The fourth proportional to 133,633.10, 200,257.80 and 80,346.84 is: 120,404.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,633.10 : 200,257.80 = 80,346.84 : x
  2. Step 2: Convert to fraction form
    133,633.10/200,257.80 = 80,346.84/x
  3. Step 3: Cross multiply
    133,633.10x = 200,257.80 × 80,346.84
  4. Step 4: Simplify right side
    133,633.10x = 16,090,081,415.35
  5. Step 5: Solve for x
    x = 16,090,081,415.35/133,633.10
  6. Step 6: Final answer
    x = 120,404.91

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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.