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Finding the Fourth Proportional to 31,179.20, 46,768.80 and 31,179.20

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Solution

The fourth proportional to 31,179.20, 46,768.80 and 31,179.20 is: 46,768.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,179.20 : 46,768.80 = 31,179.20 : x
  2. Step 2: Convert to fraction form
    31,179.20/46,768.80 = 31,179.20/x
  3. Step 3: Cross multiply
    31,179.20x = 46,768.80 × 31,179.20
  4. Step 4: Simplify right side
    31,179.20x = 1,458,213,768.96
  5. Step 5: Solve for x
    x = 1,458,213,768.96/31,179.20
  6. Step 6: Final answer
    x = 46,768.80

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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.