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Finding the Fourth Proportional to 138,754.94, 208,132.42 and 33,573.91

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Solution

The fourth proportional to 138,754.94, 208,132.42 and 33,573.91 is: 50,360.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,754.94 : 208,132.42 = 33,573.91 : x
  2. Step 2: Convert to fraction form
    138,754.94/208,132.42 = 33,573.91/x
  3. Step 3: Cross multiply
    138,754.94x = 208,132.42 × 33,573.91
  4. Step 4: Simplify right side
    138,754.94x = 6,987,819,137.16
  5. Step 5: Solve for x
    x = 6,987,819,137.16/138,754.94
  6. Step 6: Final answer
    x = 50,360.87

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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.