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Finding the Fourth Proportional to 76,811.37, 115,137.87 and 29,413.52

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Solution

The fourth proportional to 76,811.37, 115,137.87 and 29,413.52 is: 44,089.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,811.37 : 115,137.87 = 29,413.52 : x
  2. Step 2: Convert to fraction form
    76,811.37/115,137.87 = 29,413.52/x
  3. Step 3: Cross multiply
    76,811.37x = 115,137.87 × 29,413.52
  4. Step 4: Simplify right side
    76,811.37x = 3,386,610,042.00
  5. Step 5: Solve for x
    x = 3,386,610,042.00/76,811.37
  6. Step 6: Final answer
    x = 44,089.96

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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.