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Finding the Fourth Proportional to 138,896.91, 208,344.15 and 33,715.98

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Solution

The fourth proportional to 138,896.91, 208,344.15 and 33,715.98 is: 50,573.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,896.91 : 208,344.15 = 33,715.98 : x
  2. Step 2: Convert to fraction form
    138,896.91/208,344.15 = 33,715.98/x
  3. Step 3: Cross multiply
    138,896.91x = 208,344.15 × 33,715.98
  4. Step 4: Simplify right side
    138,896.91x = 7,024,527,194.52
  5. Step 5: Solve for x
    x = 7,024,527,194.52/138,896.91
  6. Step 6: Final answer
    x = 50,573.68

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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.