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Finding the Fourth Proportional to 133,633.68, 200,171.58 and 80,156.06

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Solution

The fourth proportional to 133,633.68, 200,171.58 and 80,156.06 is: 120,066.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,633.68 : 200,171.58 = 80,156.06 : x
  2. Step 2: Convert to fraction form
    133,633.68/200,171.58 = 80,156.06/x
  3. Step 3: Cross multiply
    133,633.68x = 200,171.58 × 80,156.06
  4. Step 4: Simplify right side
    133,633.68x = 16,044,965,176.77
  5. Step 5: Solve for x
    x = 16,044,965,176.77/133,633.68
  6. Step 6: Final answer
    x = 120,066.78

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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.