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Finding the Fourth Proportional to 138,787, 208,186.26 and 40,291

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Solution

The fourth proportional to 138,787, 208,186.26 and 40,291 is: 60,438.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,787 : 208,186.26 = 40,291 : x
  2. Step 2: Convert to fraction form
    138,787/208,186.26 = 40,291/x
  3. Step 3: Cross multiply
    138,787x = 208,186.26 × 40,291
  4. Step 4: Simplify right side
    138,787x = 8,388,032,601.66
  5. Step 5: Solve for x
    x = 8,388,032,601.66/138,787
  6. Step 6: Final answer
    x = 60,438.17

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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.