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Finding the Fourth Proportional to 71,780.48, 98,953.21 and 47,540.83

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Solution

The fourth proportional to 71,780.48, 98,953.21 and 47,540.83 is: 65,537.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,780.48 : 98,953.21 = 47,540.83 : x
  2. Step 2: Convert to fraction form
    71,780.48/98,953.21 = 47,540.83/x
  3. Step 3: Cross multiply
    71,780.48x = 98,953.21 × 47,540.83
  4. Step 4: Simplify right side
    71,780.48x = 4,704,317,734.56
  5. Step 5: Solve for x
    x = 4,704,317,734.56/71,780.48
  6. Step 6: Final answer
    x = 65,537.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.