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Finding the Fourth Proportional to 172,419.90, 258,629.61 and 54,100.47

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Solution

The fourth proportional to 172,419.90, 258,629.61 and 54,100.47 is: 81,150.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,419.90 : 258,629.61 = 54,100.47 : x
  2. Step 2: Convert to fraction form
    172,419.90/258,629.61 = 54,100.47/x
  3. Step 3: Cross multiply
    172,419.90x = 258,629.61 × 54,100.47
  4. Step 4: Simplify right side
    172,419.90x = 13,991,983,456.92
  5. Step 5: Solve for x
    x = 13,991,983,456.92/172,419.90
  6. Step 6: Final answer
    x = 81,150.63

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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.