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Finding the Fourth Proportional to 135,713.21, 187,269.11 and 75,268.71

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Solution

The fourth proportional to 135,713.21, 187,269.11 and 75,268.71 is: 103,862.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,713.21 : 187,269.11 = 75,268.71 : x
  2. Step 2: Convert to fraction form
    135,713.21/187,269.11 = 75,268.71/x
  3. Step 3: Cross multiply
    135,713.21x = 187,269.11 × 75,268.71
  4. Step 4: Simplify right side
    135,713.21x = 14,095,504,332.55
  5. Step 5: Solve for x
    x = 14,095,504,332.55/135,713.21
  6. Step 6: Final answer
    x = 103,862.43

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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.