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Finding the Fourth Proportional to 76,677.80, 115,022.10 and 43,413.80

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Solution

The fourth proportional to 76,677.80, 115,022.10 and 43,413.80 is: 65,123.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,677.80 : 115,022.10 = 43,413.80 : x
  2. Step 2: Convert to fraction form
    76,677.80/115,022.10 = 43,413.80/x
  3. Step 3: Cross multiply
    76,677.80x = 115,022.10 × 43,413.80
  4. Step 4: Simplify right side
    76,677.80x = 4,993,546,444.98
  5. Step 5: Solve for x
    x = 4,993,546,444.98/76,677.80
  6. Step 6: Final answer
    x = 65,123.76

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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.