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Finding the Fourth Proportional to 171,855.60, 257,679.83 and 77,068.67

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Solution

The fourth proportional to 171,855.60, 257,679.83 and 77,068.67 is: 115,556.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,855.60 : 257,679.83 = 77,068.67 : x
  2. Step 2: Convert to fraction form
    171,855.60/257,679.83 = 77,068.67/x
  3. Step 3: Cross multiply
    171,855.60x = 257,679.83 × 77,068.67
  4. Step 4: Simplify right side
    171,855.60x = 19,859,040,110.18
  5. Step 5: Solve for x
    x = 19,859,040,110.18/171,855.60
  6. Step 6: Final answer
    x = 115,556.55

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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.