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Finding the Fourth Proportional to 225,967.16, 338,749.32 and 85,824.20

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Solution

The fourth proportional to 225,967.16, 338,749.32 and 85,824.20 is: 128,659.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,967.16 : 338,749.32 = 85,824.20 : x
  2. Step 2: Convert to fraction form
    225,967.16/338,749.32 = 85,824.20/x
  3. Step 3: Cross multiply
    225,967.16x = 338,749.32 × 85,824.20
  4. Step 4: Simplify right side
    225,967.16x = 29,072,889,389.54
  5. Step 5: Solve for x
    x = 29,072,889,389.54/225,967.16
  6. Step 6: Final answer
    x = 128,659.80

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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.