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Finding the Fourth Proportional to 137,438.43, 205,920.96 and 107,441

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Solution

The fourth proportional to 137,438.43, 205,920.96 and 107,441 is: 160,976.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,438.43 : 205,920.96 = 107,441 : x
  2. Step 2: Convert to fraction form
    137,438.43/205,920.96 = 107,441/x
  3. Step 3: Cross multiply
    137,438.43x = 205,920.96 × 107,441
  4. Step 4: Simplify right side
    137,438.43x = 22,124,353,863.36
  5. Step 5: Solve for x
    x = 22,124,353,863.36/137,438.43
  6. Step 6: Final answer
    x = 160,976.47

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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.