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Finding the Fourth Proportional to 225,819.47, 338,729.81 and 76,164.89

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Solution

The fourth proportional to 225,819.47, 338,729.81 and 76,164.89 is: 114,247.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,819.47 : 338,729.81 = 76,164.89 : x
  2. Step 2: Convert to fraction form
    225,819.47/338,729.81 = 76,164.89/x
  3. Step 3: Cross multiply
    225,819.47x = 338,729.81 × 76,164.89
  4. Step 4: Simplify right side
    225,819.47x = 25,799,316,643.90
  5. Step 5: Solve for x
    x = 25,799,316,643.90/225,819.47
  6. Step 6: Final answer
    x = 114,247.53

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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.