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Finding the Fourth Proportional to 133,884.79, 200,821.29 and 45,137.95

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Solution

The fourth proportional to 133,884.79, 200,821.29 and 45,137.95 is: 67,704.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,884.79 : 200,821.29 = 45,137.95 : x
  2. Step 2: Convert to fraction form
    133,884.79/200,821.29 = 45,137.95/x
  3. Step 3: Cross multiply
    133,884.79x = 200,821.29 × 45,137.95
  4. Step 4: Simplify right side
    133,884.79x = 9,064,661,346.96
  5. Step 5: Solve for x
    x = 9,064,661,346.96/133,884.79
  6. Step 6: Final answer
    x = 67,704.94

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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.