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Finding the Fourth Proportional to 135,570, 187,086.60 and 82,578

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Solution

The fourth proportional to 135,570, 187,086.60 and 82,578 is: 113,957.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,570 : 187,086.60 = 82,578 : x
  2. Step 2: Convert to fraction form
    135,570/187,086.60 = 82,578/x
  3. Step 3: Cross multiply
    135,570x = 187,086.60 × 82,578
  4. Step 4: Simplify right side
    135,570x = 15,449,237,254.80
  5. Step 5: Solve for x
    x = 15,449,237,254.80/135,570
  6. Step 6: Final answer
    x = 113,957.64

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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.