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Finding the Fourth Proportional to 47,627.76, 71,438.76 and 21,325.44

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Solution

The fourth proportional to 47,627.76, 71,438.76 and 21,325.44 is: 31,986.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,627.76 : 71,438.76 = 21,325.44 : x
  2. Step 2: Convert to fraction form
    47,627.76/71,438.76 = 21,325.44/x
  3. Step 3: Cross multiply
    47,627.76x = 71,438.76 × 21,325.44
  4. Step 4: Simplify right side
    47,627.76x = 1,523,462,990.05
  5. Step 5: Solve for x
    x = 1,523,462,990.05/47,627.76
  6. Step 6: Final answer
    x = 31,986.87

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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.