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Finding the Fourth Proportional to 172,321.89, 258,495.12 and 45,961.43

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Solution

The fourth proportional to 172,321.89, 258,495.12 and 45,961.43 is: 68,945.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,321.89 : 258,495.12 = 45,961.43 : x
  2. Step 2: Convert to fraction form
    172,321.89/258,495.12 = 45,961.43/x
  3. Step 3: Cross multiply
    172,321.89x = 258,495.12 × 45,961.43
  4. Step 4: Simplify right side
    172,321.89x = 11,880,804,070.75
  5. Step 5: Solve for x
    x = 11,880,804,070.75/172,321.89
  6. Step 6: Final answer
    x = 68,945.41

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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.