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Finding the Fourth Proportional to 225,940, 338,673.47 and 76,128.52

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Solution

The fourth proportional to 225,940, 338,673.47 and 76,128.52 is: 114,113.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,940 : 338,673.47 = 76,128.52 : x
  2. Step 2: Convert to fraction form
    225,940/338,673.47 = 76,128.52/x
  3. Step 3: Cross multiply
    225,940x = 338,673.47 × 76,128.52
  4. Step 4: Simplify right side
    225,940x = 25,782,710,034.36
  5. Step 5: Solve for x
    x = 25,782,710,034.36/225,940
  6. Step 6: Final answer
    x = 114,113.08

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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.