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Finding the Fourth Proportional to 172,650.84, 258,998.13 and 47,991.84

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Solution

The fourth proportional to 172,650.84, 258,998.13 and 47,991.84 is: 71,993.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,650.84 : 258,998.13 = 47,991.84 : x
  2. Step 2: Convert to fraction form
    172,650.84/258,998.13 = 47,991.84/x
  3. Step 3: Cross multiply
    172,650.84x = 258,998.13 × 47,991.84
  4. Step 4: Simplify right side
    172,650.84x = 12,429,796,815.26
  5. Step 5: Solve for x
    x = 12,429,796,815.26/172,650.84
  6. Step 6: Final answer
    x = 71,993.84

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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.