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Finding the Fourth Proportional to 253,174, 379,844.20 and 103,540.16

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Solution

The fourth proportional to 253,174, 379,844.20 and 103,540.16 is: 155,344.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,174 : 379,844.20 = 103,540.16 : x
  2. Step 2: Convert to fraction form
    253,174/379,844.20 = 103,540.16/x
  3. Step 3: Cross multiply
    253,174x = 379,844.20 × 103,540.16
  4. Step 4: Simplify right side
    253,174x = 39,329,129,243.07
  5. Step 5: Solve for x
    x = 39,329,129,243.07/253,174
  6. Step 6: Final answer
    x = 155,344.27

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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.