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Finding the Fourth Proportional to 138,752.94, 208,129.42 and 33,571.91

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Solution

The fourth proportional to 138,752.94, 208,129.42 and 33,571.91 is: 50,357.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,752.94 : 208,129.42 = 33,571.91 : x
  2. Step 2: Convert to fraction form
    138,752.94/208,129.42 = 33,571.91/x
  3. Step 3: Cross multiply
    138,752.94x = 208,129.42 × 33,571.91
  4. Step 4: Simplify right side
    138,752.94x = 6,987,302,156.59
  5. Step 5: Solve for x
    x = 6,987,302,156.59/138,752.94
  6. Step 6: Final answer
    x = 50,357.87

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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.