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Finding the Fourth Proportional to 135,311.81, 186,725.67 and 74,885

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Solution

The fourth proportional to 135,311.81, 186,725.67 and 74,885 is: 103,338.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,311.81 : 186,725.67 = 74,885 : x
  2. Step 2: Convert to fraction form
    135,311.81/186,725.67 = 74,885/x
  3. Step 3: Cross multiply
    135,311.81x = 186,725.67 × 74,885
  4. Step 4: Simplify right side
    135,311.81x = 13,982,951,423.53
  5. Step 5: Solve for x
    x = 13,982,951,423.53/135,311.81
  6. Step 6: Final answer
    x = 103,338.74

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1.5x scale

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.