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Finding the Fourth Proportional to 138,867, 208,336.02 and 40,371

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Solution

The fourth proportional to 138,867, 208,336.02 and 40,371 is: 60,566.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,867 : 208,336.02 = 40,371 : x
  2. Step 2: Convert to fraction form
    138,867/208,336.02 = 40,371/x
  3. Step 3: Cross multiply
    138,867x = 208,336.02 × 40,371
  4. Step 4: Simplify right side
    138,867x = 8,410,733,463.42
  5. Step 5: Solve for x
    x = 8,410,733,463.42/138,867
  6. Step 6: Final answer
    x = 60,566.83

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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.