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Finding the Fourth Proportional to 76,858.80, 115,288.20 and 61,306.80

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Solution

The fourth proportional to 76,858.80, 115,288.20 and 61,306.80 is: 91,960.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,858.80 : 115,288.20 = 61,306.80 : x
  2. Step 2: Convert to fraction form
    76,858.80/115,288.20 = 61,306.80/x
  3. Step 3: Cross multiply
    76,858.80x = 115,288.20 × 61,306.80
  4. Step 4: Simplify right side
    76,858.80x = 7,067,950,619.76
  5. Step 5: Solve for x
    x = 7,067,950,619.76/76,858.80
  6. Step 6: Final answer
    x = 91,960.20

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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.