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Finding the Fourth Proportional to 100,864.56, 151,253.04 and 34,286.78

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Solution

The fourth proportional to 100,864.56, 151,253.04 and 34,286.78 is: 51,415.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,864.56 : 151,253.04 = 34,286.78 : x
  2. Step 2: Convert to fraction form
    100,864.56/151,253.04 = 34,286.78/x
  3. Step 3: Cross multiply
    100,864.56x = 151,253.04 × 34,286.78
  4. Step 4: Simplify right side
    100,864.56x = 5,185,979,706.81
  5. Step 5: Solve for x
    x = 5,185,979,706.81/100,864.56
  6. Step 6: Final answer
    x = 51,415.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.