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Finding the Fourth Proportional to 47,969.89, 71,913.80 and 18,408.94

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Solution

The fourth proportional to 47,969.89, 71,913.80 and 18,408.94 is: 27,597.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,969.89 : 71,913.80 = 18,408.94 : x
  2. Step 2: Convert to fraction form
    47,969.89/71,913.80 = 18,408.94/x
  3. Step 3: Cross multiply
    47,969.89x = 71,913.80 × 18,408.94
  4. Step 4: Simplify right side
    47,969.89x = 1,323,856,695.61
  5. Step 5: Solve for x
    x = 1,323,856,695.61/47,969.89
  6. Step 6: Final answer
    x = 27,597.66

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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.