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Finding the Fourth Proportional to 172,425, 258,637.56 and 54,105.60

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Solution

The fourth proportional to 172,425, 258,637.56 and 54,105.60 is: 81,158.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,425 : 258,637.56 = 54,105.60 : x
  2. Step 2: Convert to fraction form
    172,425/258,637.56 = 54,105.60/x
  3. Step 3: Cross multiply
    172,425x = 258,637.56 × 54,105.60
  4. Step 4: Simplify right side
    172,425x = 13,993,740,366.34
  5. Step 5: Solve for x
    x = 13,993,740,366.34/172,425
  6. Step 6: Final answer
    x = 81,158.42

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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.