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Finding the Fourth Proportional to 133,689.58, 200,534.64 and 54,789.64

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Solution

The fourth proportional to 133,689.58, 200,534.64 and 54,789.64 is: 82,184.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,689.58 : 200,534.64 = 54,789.64 : x
  2. Step 2: Convert to fraction form
    133,689.58/200,534.64 = 54,789.64/x
  3. Step 3: Cross multiply
    133,689.58x = 200,534.64 × 54,789.64
  4. Step 4: Simplify right side
    133,689.58x = 10,987,220,733.13
  5. Step 5: Solve for x
    x = 10,987,220,733.13/133,689.58
  6. Step 6: Final answer
    x = 82,184.57

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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.