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Finding the Fourth Proportional to 85,661.28, 128,418 and 41,226.84

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Solution

The fourth proportional to 85,661.28, 128,418 and 41,226.84 is: 61,804.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,661.28 : 128,418 = 41,226.84 : x
  2. Step 2: Convert to fraction form
    85,661.28/128,418 = 41,226.84/x
  3. Step 3: Cross multiply
    85,661.28x = 128,418 × 41,226.84
  4. Step 4: Simplify right side
    85,661.28x = 5,294,268,339.12
  5. Step 5: Solve for x
    x = 5,294,268,339.12/85,661.28
  6. Step 6: Final answer
    x = 61,804.68

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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.