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Finding the Fourth Proportional to 71,930.88, 107,896.32 and 30,378.24

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Solution

The fourth proportional to 71,930.88, 107,896.32 and 30,378.24 is: 45,567.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,930.88 : 107,896.32 = 30,378.24 : x
  2. Step 2: Convert to fraction form
    71,930.88/107,896.32 = 30,378.24/x
  3. Step 3: Cross multiply
    71,930.88x = 107,896.32 × 30,378.24
  4. Step 4: Simplify right side
    71,930.88x = 3,277,700,304.08
  5. Step 5: Solve for x
    x = 3,277,700,304.08/71,930.88
  6. Step 6: Final answer
    x = 45,567.36

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1.5x scale

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.