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Finding the Fourth Proportional to 133,672, 200,508 and 40,177.84

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Solution

The fourth proportional to 133,672, 200,508 and 40,177.84 is: 60,266.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,672 : 200,508 = 40,177.84 : x
  2. Step 2: Convert to fraction form
    133,672/200,508 = 40,177.84/x
  3. Step 3: Cross multiply
    133,672x = 200,508 × 40,177.84
  4. Step 4: Simplify right side
    133,672x = 8,055,978,342.72
  5. Step 5: Solve for x
    x = 8,055,978,342.72/133,672
  6. Step 6: Final answer
    x = 60,266.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.