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Finding the Fourth Proportional to 172,635.84, 258,905.52 and 109,361.88

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Solution

The fourth proportional to 172,635.84, 258,905.52 and 109,361.88 is: 164,012.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,635.84 : 258,905.52 = 109,361.88 : x
  2. Step 2: Convert to fraction form
    172,635.84/258,905.52 = 109,361.88/x
  3. Step 3: Cross multiply
    172,635.84x = 258,905.52 × 109,361.88
  4. Step 4: Simplify right side
    172,635.84x = 28,314,394,409.58
  5. Step 5: Solve for x
    x = 28,314,394,409.58/172,635.84
  6. Step 6: Final answer
    x = 164,012.26

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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.