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Finding the Fourth Proportional to 225,968.16, 338,750.82 and 85,825.20

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Solution

The fourth proportional to 225,968.16, 338,750.82 and 85,825.20 is: 128,661.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,968.16 : 338,750.82 = 85,825.20 : x
  2. Step 2: Convert to fraction form
    225,968.16/338,750.82 = 85,825.20/x
  3. Step 3: Cross multiply
    225,968.16x = 338,750.82 × 85,825.20
  4. Step 4: Simplify right side
    225,968.16x = 29,073,356,876.66
  5. Step 5: Solve for x
    x = 29,073,356,876.66/225,968.16
  6. Step 6: Final answer
    x = 128,661.30

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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.