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Finding the Fourth Proportional to 85,846.59, 128,734.20 and 33,225.75

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Solution

The fourth proportional to 85,846.59, 128,734.20 and 33,225.75 is: 49,824.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,846.59 : 128,734.20 = 33,225.75 : x
  2. Step 2: Convert to fraction form
    85,846.59/128,734.20 = 33,225.75/x
  3. Step 3: Cross multiply
    85,846.59x = 128,734.20 × 33,225.75
  4. Step 4: Simplify right side
    85,846.59x = 4,277,290,345.65
  5. Step 5: Solve for x
    x = 4,277,290,345.65/85,846.59
  6. Step 6: Final answer
    x = 49,824.81

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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.