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Finding the Fourth Proportional to 172,005.40, 258,008.10 and 83,431.90

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Solution

The fourth proportional to 172,005.40, 258,008.10 and 83,431.90 is: 125,147.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,005.40 : 258,008.10 = 83,431.90 : x
  2. Step 2: Convert to fraction form
    172,005.40/258,008.10 = 83,431.90/x
  3. Step 3: Cross multiply
    172,005.40x = 258,008.10 × 83,431.90
  4. Step 4: Simplify right side
    172,005.40x = 21,526,105,998.39
  5. Step 5: Solve for x
    x = 21,526,105,998.39/172,005.40
  6. Step 6: Final answer
    x = 125,147.85

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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.