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Finding the Fourth Proportional to 138,431.60, 207,647.40 and 137,556.80

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Solution

The fourth proportional to 138,431.60, 207,647.40 and 137,556.80 is: 206,335.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,431.60 : 207,647.40 = 137,556.80 : x
  2. Step 2: Convert to fraction form
    138,431.60/207,647.40 = 137,556.80/x
  3. Step 3: Cross multiply
    138,431.60x = 207,647.40 × 137,556.80
  4. Step 4: Simplify right side
    138,431.60x = 28,563,311,872.32
  5. Step 5: Solve for x
    x = 28,563,311,872.32/138,431.60
  6. Step 6: Final answer
    x = 206,335.20

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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.