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Finding the Fourth Proportional to 172,300.86, 258,456.15 and 47,641.86

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Solution

The fourth proportional to 172,300.86, 258,456.15 and 47,641.86 is: 71,464.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,300.86 : 258,456.15 = 47,641.86 : x
  2. Step 2: Convert to fraction form
    172,300.86/258,456.15 = 47,641.86/x
  3. Step 3: Cross multiply
    172,300.86x = 258,456.15 × 47,641.86
  4. Step 4: Simplify right side
    172,300.86x = 12,313,331,714.44
  5. Step 5: Solve for x
    x = 12,313,331,714.44/172,300.86
  6. Step 6: Final answer
    x = 71,464.13

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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.