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Finding the Fourth Proportional to 225,931.25, 338,660.42 and 76,119.77

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Solution

The fourth proportional to 225,931.25, 338,660.42 and 76,119.77 is: 114,099.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,931.25 : 338,660.42 = 76,119.77 : x
  2. Step 2: Convert to fraction form
    225,931.25/338,660.42 = 76,119.77/x
  3. Step 3: Cross multiply
    225,931.25x = 338,660.42 × 76,119.77
  4. Step 4: Simplify right side
    225,931.25x = 25,778,751,204.60
  5. Step 5: Solve for x
    x = 25,778,751,204.60/225,931.25
  6. Step 6: Final answer
    x = 114,099.98

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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.