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Finding the Fourth Proportional to 133,691.40, 200,565.90 and 40,206.60

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Solution

The fourth proportional to 133,691.40, 200,565.90 and 40,206.60 is: 60,318.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,691.40 : 200,565.90 = 40,206.60 : x
  2. Step 2: Convert to fraction form
    133,691.40/200,565.90 = 40,206.60/x
  3. Step 3: Cross multiply
    133,691.40x = 200,565.90 × 40,206.60
  4. Step 4: Simplify right side
    133,691.40x = 8,064,072,914.94
  5. Step 5: Solve for x
    x = 8,064,072,914.94/133,691.40
  6. Step 6: Final answer
    x = 60,318.56

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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.