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Finding the Fourth Proportional to 172,201.86, 258,302.43 and 47,542.50

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Solution

The fourth proportional to 172,201.86, 258,302.43 and 47,542.50 is: 71,313.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,201.86 : 258,302.43 = 47,542.50 : x
  2. Step 2: Convert to fraction form
    172,201.86/258,302.43 = 47,542.50/x
  3. Step 3: Cross multiply
    172,201.86x = 258,302.43 × 47,542.50
  4. Step 4: Simplify right side
    172,201.86x = 12,280,343,278.28
  5. Step 5: Solve for x
    x = 12,280,343,278.28/172,201.86
  6. Step 6: Final answer
    x = 71,313.65

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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.