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Finding the Fourth Proportional to 172,166.32, 258,239.74 and 53,823.70

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Solution

The fourth proportional to 172,166.32, 258,239.74 and 53,823.70 is: 80,732.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,166.32 : 258,239.74 = 53,823.70 : x
  2. Step 2: Convert to fraction form
    172,166.32/258,239.74 = 53,823.70/x
  3. Step 3: Cross multiply
    172,166.32x = 258,239.74 × 53,823.70
  4. Step 4: Simplify right side
    172,166.32x = 13,899,418,293.84
  5. Step 5: Solve for x
    x = 13,899,418,293.84/172,166.32
  6. Step 6: Final answer
    x = 80,732.51

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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.