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Finding the Fourth Proportional to 85,785.84, 128,643.12 and 33,165

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Solution

The fourth proportional to 85,785.84, 128,643.12 and 33,165 is: 49,733.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,785.84 : 128,643.12 = 33,165 : x
  2. Step 2: Convert to fraction form
    85,785.84/128,643.12 = 33,165/x
  3. Step 3: Cross multiply
    85,785.84x = 128,643.12 × 33,165
  4. Step 4: Simplify right side
    85,785.84x = 4,266,449,074.80
  5. Step 5: Solve for x
    x = 4,266,449,074.80/85,785.84
  6. Step 6: Final answer
    x = 49,733.72

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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.