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Finding the Fourth Proportional to 135,698.46, 187,286.28 and 75,288.54

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Solution

The fourth proportional to 135,698.46, 187,286.28 and 75,288.54 is: 103,910.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,698.46 : 187,286.28 = 75,288.54 : x
  2. Step 2: Convert to fraction form
    135,698.46/187,286.28 = 75,288.54/x
  3. Step 3: Cross multiply
    135,698.46x = 187,286.28 × 75,288.54
  4. Step 4: Simplify right side
    135,698.46x = 14,100,510,583.23
  5. Step 5: Solve for x
    x = 14,100,510,583.23/135,698.46
  6. Step 6: Final answer
    x = 103,910.62

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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.