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Finding the Fourth Proportional to 78,462.96, 118,121.37 and 71,487.78

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Solution

The fourth proportional to 78,462.96, 118,121.37 and 71,487.78 is: 107,620.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,462.96 : 118,121.37 = 71,487.78 : x
  2. Step 2: Convert to fraction form
    78,462.96/118,121.37 = 71,487.78/x
  3. Step 3: Cross multiply
    78,462.96x = 118,121.37 × 71,487.78
  4. Step 4: Simplify right side
    78,462.96x = 8,444,234,511.86
  5. Step 5: Solve for x
    x = 8,444,234,511.86/78,462.96
  6. Step 6: Final answer
    x = 107,620.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.