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Finding the Fourth Proportional to 137,568.30, 206,370.81 and 54,442.86

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Solution

The fourth proportional to 137,568.30, 206,370.81 and 54,442.86 is: 81,671.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,568.30 : 206,370.81 = 54,442.86 : x
  2. Step 2: Convert to fraction form
    137,568.30/206,370.81 = 54,442.86/x
  3. Step 3: Cross multiply
    137,568.30x = 206,370.81 × 54,442.86
  4. Step 4: Simplify right side
    137,568.30x = 11,235,417,116.92
  5. Step 5: Solve for x
    x = 11,235,417,116.92/137,568.30
  6. Step 6: Final answer
    x = 81,671.56

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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.