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Finding the Fourth Proportional to 253,172.49, 379,945.64 and 120,053.19

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Solution

The fourth proportional to 253,172.49, 379,945.64 and 120,053.19 is: 180,168.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,172.49 : 379,945.64 = 120,053.19 : x
  2. Step 2: Convert to fraction form
    253,172.49/379,945.64 = 120,053.19/x
  3. Step 3: Cross multiply
    253,172.49x = 379,945.64 × 120,053.19
  4. Step 4: Simplify right side
    253,172.49x = 45,613,685,021.03
  5. Step 5: Solve for x
    x = 45,613,685,021.03/253,172.49
  6. Step 6: Final answer
    x = 180,168.41

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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.