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Finding the Fourth Proportional to 73,052.80, 100,815.90 and 41,221.72

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Solution

The fourth proportional to 73,052.80, 100,815.90 and 41,221.72 is: 56,887.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,052.80 : 100,815.90 = 41,221.72 : x
  2. Step 2: Convert to fraction form
    73,052.80/100,815.90 = 41,221.72/x
  3. Step 3: Cross multiply
    73,052.80x = 100,815.90 × 41,221.72
  4. Step 4: Simplify right side
    73,052.80x = 4,155,804,801.35
  5. Step 5: Solve for x
    x = 4,155,804,801.35/73,052.80
  6. Step 6: Final answer
    x = 56,887.69

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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.