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Finding the Fourth Proportional to 172,212.97, 258,322.09 and 65,602.85

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Solution

The fourth proportional to 172,212.97, 258,322.09 and 65,602.85 is: 98,405.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,212.97 : 258,322.09 = 65,602.85 : x
  2. Step 2: Convert to fraction form
    172,212.97/258,322.09 = 65,602.85/x
  3. Step 3: Cross multiply
    172,212.97x = 258,322.09 × 65,602.85
  4. Step 4: Simplify right side
    172,212.97x = 16,946,665,321.96
  5. Step 5: Solve for x
    x = 16,946,665,321.96/172,212.97
  6. Step 6: Final answer
    x = 98,405.28

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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.