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Finding the Fourth Proportional to 172,057.50, 258,086.25 and 47,398.50

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Solution

The fourth proportional to 172,057.50, 258,086.25 and 47,398.50 is: 71,097.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,057.50 : 258,086.25 = 47,398.50 : x
  2. Step 2: Convert to fraction form
    172,057.50/258,086.25 = 47,398.50/x
  3. Step 3: Cross multiply
    172,057.50x = 258,086.25 × 47,398.50
  4. Step 4: Simplify right side
    172,057.50x = 12,232,901,120.63
  5. Step 5: Solve for x
    x = 12,232,901,120.63/172,057.50
  6. Step 6: Final answer
    x = 71,097.75

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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.