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Finding the Fourth Proportional to 135,173.76, 186,536.46 and 74,742.87

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Solution

The fourth proportional to 135,173.76, 186,536.46 and 74,742.87 is: 103,143.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,173.76 : 186,536.46 = 74,742.87 : x
  2. Step 2: Convert to fraction form
    135,173.76/186,536.46 = 74,742.87/x
  3. Step 3: Cross multiply
    135,173.76x = 186,536.46 × 74,742.87
  4. Step 4: Simplify right side
    135,173.76x = 13,942,270,380.04
  5. Step 5: Solve for x
    x = 13,942,270,380.04/135,173.76
  6. Step 6: Final answer
    x = 103,143.32

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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.