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Finding the Fourth Proportional to 135,141.82, 186,487.58 and 74,708.87

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Solution

The fourth proportional to 135,141.82, 186,487.58 and 74,708.87 is: 103,093.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,141.82 : 186,487.58 = 74,708.87 : x
  2. Step 2: Convert to fraction form
    135,141.82/186,487.58 = 74,708.87/x
  3. Step 3: Cross multiply
    135,141.82x = 186,487.58 × 74,708.87
  4. Step 4: Simplify right side
    135,141.82x = 13,932,275,625.17
  5. Step 5: Solve for x
    x = 13,932,275,625.17/135,141.82
  6. Step 6: Final answer
    x = 103,093.74

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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.