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Finding the Fourth Proportional to 137,745.43, 206,697.92 and 57,776.29

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Solution

The fourth proportional to 137,745.43, 206,697.92 and 57,776.29 is: 86,697.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,745.43 : 206,697.92 = 57,776.29 : x
  2. Step 2: Convert to fraction form
    137,745.43/206,697.92 = 57,776.29/x
  3. Step 3: Cross multiply
    137,745.43x = 206,697.92 × 57,776.29
  4. Step 4: Simplify right side
    137,745.43x = 11,942,238,968.32
  5. Step 5: Solve for x
    x = 11,942,238,968.32/137,745.43
  6. Step 6: Final answer
    x = 86,697.90

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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.