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Finding the Fourth Proportional to 133,530.30, 200,408.85 and 54,701.10

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Solution

The fourth proportional to 133,530.30, 200,408.85 and 54,701.10 is: 82,098.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,530.30 : 200,408.85 = 54,701.10 : x
  2. Step 2: Convert to fraction form
    133,530.30/200,408.85 = 54,701.10/x
  3. Step 3: Cross multiply
    133,530.30x = 200,408.85 × 54,701.10
  4. Step 4: Simplify right side
    133,530.30x = 10,962,584,544.74
  5. Step 5: Solve for x
    x = 10,962,584,544.74/133,530.30
  6. Step 6: Final answer
    x = 82,098.10

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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.