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Finding the Fourth Proportional to 172,706.36, 259,131.24 and 82,703.72

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Solution

The fourth proportional to 172,706.36, 259,131.24 and 82,703.72 is: 124,089.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,706.36 : 259,131.24 = 82,703.72 : x
  2. Step 2: Convert to fraction form
    172,706.36/259,131.24 = 82,703.72/x
  3. Step 3: Cross multiply
    172,706.36x = 259,131.24 × 82,703.72
  4. Step 4: Simplify right side
    172,706.36x = 21,431,117,516.21
  5. Step 5: Solve for x
    x = 21,431,117,516.21/172,706.36
  6. Step 6: Final answer
    x = 124,089.91

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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.