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Finding the Fourth Proportional to 253,224.82, 379,726.45 and 120,143.03

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Solution

The fourth proportional to 253,224.82, 379,726.45 and 120,143.03 is: 180,161.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,224.82 : 379,726.45 = 120,143.03 : x
  2. Step 2: Convert to fraction form
    253,224.82/379,726.45 = 120,143.03/x
  3. Step 3: Cross multiply
    253,224.82x = 379,726.45 × 120,143.03
  4. Step 4: Simplify right side
    253,224.82x = 45,621,486,923.10
  5. Step 5: Solve for x
    x = 45,621,486,923.10/253,224.82
  6. Step 6: Final answer
    x = 180,161.99

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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.