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Finding the Fourth Proportional to 85,571.36, 128,250 and 41,186.24

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Solution

The fourth proportional to 85,571.36, 128,250 and 41,186.24 is: 61,727.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,571.36 : 128,250 = 41,186.24 : x
  2. Step 2: Convert to fraction form
    85,571.36/128,250 = 41,186.24/x
  3. Step 3: Cross multiply
    85,571.36x = 128,250 × 41,186.24
  4. Step 4: Simplify right side
    85,571.36x = 5,282,135,280
  5. Step 5: Solve for x
    x = 5,282,135,280/85,571.36
  6. Step 6: Final answer
    x = 61,727.84

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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.