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Finding the Fourth Proportional to 114,927, 172,390.62 and 31,821

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Solution

The fourth proportional to 114,927, 172,390.62 and 31,821 is: 47,731.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,927 : 172,390.62 = 31,821 : x
  2. Step 2: Convert to fraction form
    114,927/172,390.62 = 31,821/x
  3. Step 3: Cross multiply
    114,927x = 172,390.62 × 31,821
  4. Step 4: Simplify right side
    114,927x = 5,485,641,919.02
  5. Step 5: Solve for x
    x = 5,485,641,919.02/114,927
  6. Step 6: Final answer
    x = 47,731.53

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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.