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Finding the Fourth Proportional to 114,979.50, 172,469.25 and 31,873.50

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Solution

The fourth proportional to 114,979.50, 172,469.25 and 31,873.50 is: 47,810.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,979.50 : 172,469.25 = 31,873.50 : x
  2. Step 2: Convert to fraction form
    114,979.50/172,469.25 = 31,873.50/x
  3. Step 3: Cross multiply
    114,979.50x = 172,469.25 × 31,873.50
  4. Step 4: Simplify right side
    114,979.50x = 5,497,198,639.88
  5. Step 5: Solve for x
    x = 5,497,198,639.88/114,979.50
  6. Step 6: Final answer
    x = 47,810.25

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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.