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Finding the Fourth Proportional to 225,948.64, 338,935.92 and 85,704.16

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Solution

The fourth proportional to 225,948.64, 338,935.92 and 85,704.16 is: 128,561.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,948.64 : 338,935.92 = 85,704.16 : x
  2. Step 2: Convert to fraction form
    225,948.64/338,935.92 = 85,704.16/x
  3. Step 3: Cross multiply
    225,948.64x = 338,935.92 × 85,704.16
  4. Step 4: Simplify right side
    225,948.64x = 29,048,218,317.43
  5. Step 5: Solve for x
    x = 29,048,218,317.43/225,948.64
  6. Step 6: Final answer
    x = 128,561.16

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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.