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Finding the Fourth Proportional to 171,789.87, 257,770.75 and 77,087.78

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Solution

The fourth proportional to 171,789.87, 257,770.75 and 77,087.78 is: 115,670.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,789.87 : 257,770.75 = 77,087.78 : x
  2. Step 2: Convert to fraction form
    171,789.87/257,770.75 = 77,087.78/x
  3. Step 3: Cross multiply
    171,789.87x = 257,770.75 × 77,087.78
  4. Step 4: Simplify right side
    171,789.87x = 19,870,974,866.44
  5. Step 5: Solve for x
    x = 19,870,974,866.44/171,789.87
  6. Step 6: Final answer
    x = 115,670.24

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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.