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Finding the Fourth Proportional to 135,525.80, 187,028.31 and 78,940.82

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Solution

The fourth proportional to 135,525.80, 187,028.31 and 78,940.82 is: 108,939.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,525.80 : 187,028.31 = 78,940.82 : x
  2. Step 2: Convert to fraction form
    135,525.80/187,028.31 = 78,940.82/x
  3. Step 3: Cross multiply
    135,525.80x = 187,028.31 × 78,940.82
  4. Step 4: Simplify right side
    135,525.80x = 14,764,166,824.77
  5. Step 5: Solve for x
    x = 14,764,166,824.77/135,525.80
  6. Step 6: Final answer
    x = 108,939.90

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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.