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Finding the Fourth Proportional to 138,393.84, 207,656.37 and 82,344.72

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Solution

The fourth proportional to 138,393.84, 207,656.37 and 82,344.72 is: 123,556.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,393.84 : 207,656.37 = 82,344.72 : x
  2. Step 2: Convert to fraction form
    138,393.84/207,656.37 = 82,344.72/x
  3. Step 3: Cross multiply
    138,393.84x = 207,656.37 × 82,344.72
  4. Step 4: Simplify right side
    138,393.84x = 17,099,405,643.87
  5. Step 5: Solve for x
    x = 17,099,405,643.87/138,393.84
  6. Step 6: Final answer
    x = 123,556.12

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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.