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Finding the Fourth Proportional to 133,713.78, 200,435.73 and 83,828.91

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Solution

The fourth proportional to 133,713.78, 200,435.73 and 83,828.91 is: 125,658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,713.78 : 200,435.73 = 83,828.91 : x
  2. Step 2: Convert to fraction form
    133,713.78/200,435.73 = 83,828.91/x
  3. Step 3: Cross multiply
    133,713.78x = 200,435.73 × 83,828.91
  4. Step 4: Simplify right side
    133,713.78x = 16,802,308,770.95
  5. Step 5: Solve for x
    x = 16,802,308,770.95/133,713.78
  6. Step 6: Final answer
    x = 125,658.77

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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.