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Finding the Fourth Proportional to 172,201.22, 258,321.18 and 45,846.40

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Solution

The fourth proportional to 172,201.22, 258,321.18 and 45,846.40 is: 68,774.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,201.22 : 258,321.18 = 45,846.40 : x
  2. Step 2: Convert to fraction form
    172,201.22/258,321.18 = 45,846.40/x
  3. Step 3: Cross multiply
    172,201.22x = 258,321.18 × 45,846.40
  4. Step 4: Simplify right side
    172,201.22x = 11,843,096,146.75
  5. Step 5: Solve for x
    x = 11,843,096,146.75/172,201.22
  6. Step 6: Final answer
    x = 68,774.75

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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.