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Finding the Fourth Proportional to 172,803.26, 259,001.22 and 77,922.34

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Solution

The fourth proportional to 172,803.26, 259,001.22 and 77,922.34 is: 116,791.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,803.26 : 259,001.22 = 77,922.34 : x
  2. Step 2: Convert to fraction form
    172,803.26/259,001.22 = 77,922.34/x
  3. Step 3: Cross multiply
    172,803.26x = 259,001.22 × 77,922.34
  4. Step 4: Simplify right side
    172,803.26x = 20,181,981,125.25
  5. Step 5: Solve for x
    x = 20,181,981,125.25/172,803.26
  6. Step 6: Final answer
    x = 116,791.67

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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.