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Finding the Fourth Proportional to 76,902.33, 115,379.47 and 48,460.70

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Solution

The fourth proportional to 76,902.33, 115,379.47 and 48,460.70 is: 72,707.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,902.33 : 115,379.47 = 48,460.70 : x
  2. Step 2: Convert to fraction form
    76,902.33/115,379.47 = 48,460.70/x
  3. Step 3: Cross multiply
    76,902.33x = 115,379.47 × 48,460.70
  4. Step 4: Simplify right side
    76,902.33x = 5,591,370,230.85
  5. Step 5: Solve for x
    x = 5,591,370,230.85/76,902.33
  6. Step 6: Final answer
    x = 72,707.42

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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.