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Finding the Fourth Proportional to 137,806.56, 206,707.68 and 78,516

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Solution

The fourth proportional to 137,806.56, 206,707.68 and 78,516 is: 117,772.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,806.56 : 206,707.68 = 78,516 : x
  2. Step 2: Convert to fraction form
    137,806.56/206,707.68 = 78,516/x
  3. Step 3: Cross multiply
    137,806.56x = 206,707.68 × 78,516
  4. Step 4: Simplify right side
    137,806.56x = 16,229,860,202.88
  5. Step 5: Solve for x
    x = 16,229,860,202.88/137,806.56
  6. Step 6: Final answer
    x = 117,772.77

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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.