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Finding the Fourth Proportional to 137,744.57, 206,696.64 and 57,775.43

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Solution

The fourth proportional to 137,744.57, 206,696.64 and 57,775.43 is: 86,696.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,744.57 : 206,696.64 = 57,775.43 : x
  2. Step 2: Convert to fraction form
    137,744.57/206,696.64 = 57,775.43/x
  3. Step 3: Cross multiply
    137,744.57x = 206,696.64 × 57,775.43
  4. Step 4: Simplify right side
    137,744.57x = 11,941,986,966.68
  5. Step 5: Solve for x
    x = 11,941,986,966.68/137,744.57
  6. Step 6: Final answer
    x = 86,696.61

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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.