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Finding the Fourth Proportional to 137,920.79, 206,734.17 and 78,628.79

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Solution

The fourth proportional to 137,920.79, 206,734.17 and 78,628.79 is: 117,859.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,920.79 : 206,734.17 = 78,628.79 : x
  2. Step 2: Convert to fraction form
    137,920.79/206,734.17 = 78,628.79/x
  3. Step 3: Cross multiply
    137,920.79x = 206,734.17 × 78,628.79
  4. Step 4: Simplify right side
    137,920.79x = 16,255,257,638.75
  5. Step 5: Solve for x
    x = 16,255,257,638.75/137,920.79
  6. Step 6: Final answer
    x = 117,859.37

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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.