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Finding the Fourth Proportional to 76,967.93, 115,289.85 and 39,413.90

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Solution

The fourth proportional to 76,967.93, 115,289.85 and 39,413.90 is: 59,037.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,967.93 : 115,289.85 = 39,413.90 : x
  2. Step 2: Convert to fraction form
    76,967.93/115,289.85 = 39,413.90/x
  3. Step 3: Cross multiply
    76,967.93x = 115,289.85 × 39,413.90
  4. Step 4: Simplify right side
    76,967.93x = 4,544,022,618.92
  5. Step 5: Solve for x
    x = 4,544,022,618.92/76,967.93
  6. Step 6: Final answer
    x = 59,037.87

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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.