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Finding the Fourth Proportional to 172,829.92, 238,530 and 97,385.44

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Solution

The fourth proportional to 172,829.92, 238,530 and 97,385.44 is: 134,405.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,829.92 : 238,530 = 97,385.44 : x
  2. Step 2: Convert to fraction form
    172,829.92/238,530 = 97,385.44/x
  3. Step 3: Cross multiply
    172,829.92x = 238,530 × 97,385.44
  4. Step 4: Simplify right side
    172,829.92x = 23,229,349,003.20
  5. Step 5: Solve for x
    x = 23,229,349,003.20/172,829.92
  6. Step 6: Final answer
    x = 134,405.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.