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Finding the Fourth Proportional to 172,431.86, 258,625.88 and 128,123.24

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Solution

The fourth proportional to 172,431.86, 258,625.88 and 128,123.24 is: 192,168.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,431.86 : 258,625.88 = 128,123.24 : x
  2. Step 2: Convert to fraction form
    172,431.86/258,625.88 = 128,123.24/x
  3. Step 3: Cross multiply
    172,431.86x = 258,625.88 × 128,123.24
  4. Step 4: Simplify right side
    172,431.86x = 33,135,985,693.45
  5. Step 5: Solve for x
    x = 33,135,985,693.45/172,431.86
  6. Step 6: Final answer
    x = 192,168.58

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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.