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Finding the Fourth Proportional to 76,326.80, 114,469.72 and 31,944.40

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Solution

The fourth proportional to 76,326.80, 114,469.72 and 31,944.40 is: 47,908.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,326.80 : 114,469.72 = 31,944.40 : x
  2. Step 2: Convert to fraction form
    76,326.80/114,469.72 = 31,944.40/x
  3. Step 3: Cross multiply
    76,326.80x = 114,469.72 × 31,944.40
  4. Step 4: Simplify right side
    76,326.80x = 3,656,666,523.57
  5. Step 5: Solve for x
    x = 3,656,666,523.57/76,326.80
  6. Step 6: Final answer
    x = 47,908.03

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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.