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Finding the Fourth Proportional to 47,770.56, 71,676 and 25,578

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Solution

The fourth proportional to 47,770.56, 71,676 and 25,578 is: 38,377.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,770.56 : 71,676 = 25,578 : x
  2. Step 2: Convert to fraction form
    47,770.56/71,676 = 25,578/x
  3. Step 3: Cross multiply
    47,770.56x = 71,676 × 25,578
  4. Step 4: Simplify right side
    47,770.56x = 1,833,328,728
  5. Step 5: Solve for x
    x = 1,833,328,728/47,770.56
  6. Step 6: Final answer
    x = 38,377.79

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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.