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Finding the Fourth Proportional to 172,260.92, 258,441.60 and 105,743.72

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Solution

The fourth proportional to 172,260.92, 258,441.60 and 105,743.72 is: 158,646.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,260.92 : 258,441.60 = 105,743.72 : x
  2. Step 2: Convert to fraction form
    172,260.92/258,441.60 = 105,743.72/x
  3. Step 3: Cross multiply
    172,260.92x = 258,441.60 × 105,743.72
  4. Step 4: Simplify right side
    172,260.92x = 27,328,576,186.75
  5. Step 5: Solve for x
    x = 27,328,576,186.75/172,260.92
  6. Step 6: Final answer
    x = 158,646.41

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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.