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Finding the Fourth Proportional to 225,939.12, 338,672.16 and 76,127.64

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Solution

The fourth proportional to 225,939.12, 338,672.16 and 76,127.64 is: 114,111.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,939.12 : 338,672.16 = 76,127.64 : x
  2. Step 2: Convert to fraction form
    225,939.12/338,672.16 = 76,127.64/x
  3. Step 3: Cross multiply
    225,939.12x = 338,672.16 × 76,127.64
  4. Step 4: Simplify right side
    225,939.12x = 25,782,312,274.50
  5. Step 5: Solve for x
    x = 25,782,312,274.50/225,939.12
  6. Step 6: Final answer
    x = 114,111.77

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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.