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Finding the Fourth Proportional to 85,147.48, 127,736.72 and 35,200.44

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Solution

The fourth proportional to 85,147.48, 127,736.72 and 35,200.44 is: 52,807.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,147.48 : 127,736.72 = 35,200.44 : x
  2. Step 2: Convert to fraction form
    85,147.48/127,736.72 = 35,200.44/x
  3. Step 3: Cross multiply
    85,147.48x = 127,736.72 × 35,200.44
  4. Step 4: Simplify right side
    85,147.48x = 4,496,388,748.16
  5. Step 5: Solve for x
    x = 4,496,388,748.16/85,147.48
  6. Step 6: Final answer
    x = 52,807.07

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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.