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Finding the Fourth Proportional to 66,015, 98,956.89 and 30,891.78

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Solution

The fourth proportional to 66,015, 98,956.89 and 30,891.78 is: 46,306.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,015 : 98,956.89 = 30,891.78 : x
  2. Step 2: Convert to fraction form
    66,015/98,956.89 = 30,891.78/x
  3. Step 3: Cross multiply
    66,015x = 98,956.89 × 30,891.78
  4. Step 4: Simplify right side
    66,015x = 3,056,954,475.36
  5. Step 5: Solve for x
    x = 3,056,954,475.36/66,015
  6. Step 6: Final answer
    x = 46,306.97

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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.