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Finding the Fourth Proportional to 114,928, 172,392.12 and 31,822

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Solution

The fourth proportional to 114,928, 172,392.12 and 31,822 is: 47,733.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,928 : 172,392.12 = 31,822 : x
  2. Step 2: Convert to fraction form
    114,928/172,392.12 = 31,822/x
  3. Step 3: Cross multiply
    114,928x = 172,392.12 × 31,822
  4. Step 4: Simplify right side
    114,928x = 5,485,862,042.64
  5. Step 5: Solve for x
    x = 5,485,862,042.64/114,928
  6. Step 6: Final answer
    x = 47,733.03

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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.