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Finding the Fourth Proportional to 138,874.96, 208,295.97 and 36,285.49

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Solution

The fourth proportional to 138,874.96, 208,295.97 and 36,285.49 is: 54,423.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,874.96 : 208,295.97 = 36,285.49 : x
  2. Step 2: Convert to fraction form
    138,874.96/208,295.97 = 36,285.49/x
  3. Step 3: Cross multiply
    138,874.96x = 208,295.97 × 36,285.49
  4. Step 4: Simplify right side
    138,874.96x = 7,558,121,336.48
  5. Step 5: Solve for x
    x = 7,558,121,336.48/138,874.96
  6. Step 6: Final answer
    x = 54,423.93

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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.