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Finding the Fourth Proportional to 133,798.30, 200,716.89 and 71,434.78

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Solution

The fourth proportional to 133,798.30, 200,716.89 and 71,434.78 is: 107,162.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,798.30 : 200,716.89 = 71,434.78 : x
  2. Step 2: Convert to fraction form
    133,798.30/200,716.89 = 71,434.78/x
  3. Step 3: Cross multiply
    133,798.30x = 200,716.89 × 71,434.78
  4. Step 4: Simplify right side
    133,798.30x = 14,338,166,879.43
  5. Step 5: Solve for x
    x = 14,338,166,879.43/133,798.30
  6. Step 6: Final answer
    x = 107,162.55

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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.