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Finding the Fourth Proportional to 253,791, 380,624.13 and 111,672

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Solution

The fourth proportional to 253,791, 380,624.13 and 111,672 is: 167,480.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,791 : 380,624.13 = 111,672 : x
  2. Step 2: Convert to fraction form
    253,791/380,624.13 = 111,672/x
  3. Step 3: Cross multiply
    253,791x = 380,624.13 × 111,672
  4. Step 4: Simplify right side
    253,791x = 42,505,057,845.36
  5. Step 5: Solve for x
    x = 42,505,057,845.36/253,791
  6. Step 6: Final answer
    x = 167,480.56

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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.