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Finding the Fourth Proportional to 138,978.99, 208,468.49 and 33,797.66

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Solution

The fourth proportional to 138,978.99, 208,468.49 and 33,797.66 is: 50,696.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,978.99 : 208,468.49 = 33,797.66 : x
  2. Step 2: Convert to fraction form
    138,978.99/208,468.49 = 33,797.66/x
  3. Step 3: Cross multiply
    138,978.99x = 208,468.49 × 33,797.66
  4. Step 4: Simplify right side
    138,978.99x = 7,045,745,934.40
  5. Step 5: Solve for x
    x = 7,045,745,934.40/138,978.99
  6. Step 6: Final answer
    x = 50,696.48

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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.