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Finding the Fourth Proportional to 172,712.42, 258,736.26 and 105,957.62

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Solution

The fourth proportional to 172,712.42, 258,736.26 and 105,957.62 is: 158,732.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,712.42 : 258,736.26 = 105,957.62 : x
  2. Step 2: Convert to fraction form
    172,712.42/258,736.26 = 105,957.62/x
  3. Step 3: Cross multiply
    172,712.42x = 258,736.26 × 105,957.62
  4. Step 4: Simplify right side
    172,712.42x = 27,415,078,317.30
  5. Step 5: Solve for x
    x = 27,415,078,317.30/172,712.42
  6. Step 6: Final answer
    x = 158,732.52

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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.