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Finding the Fourth Proportional to 71,178.55, 106,714.64 and 43,091.84

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Solution

The fourth proportional to 71,178.55, 106,714.64 and 43,091.84 is: 64,605.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,178.55 : 106,714.64 = 43,091.84 : x
  2. Step 2: Convert to fraction form
    71,178.55/106,714.64 = 43,091.84/x
  3. Step 3: Cross multiply
    71,178.55x = 106,714.64 × 43,091.84
  4. Step 4: Simplify right side
    71,178.55x = 4,598,530,192.54
  5. Step 5: Solve for x
    x = 4,598,530,192.54/71,178.55
  6. Step 6: Final answer
    x = 64,605.56

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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.