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Finding the Fourth Proportional to 150,383, 225,589.74 and 55,638.20

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Solution

The fourth proportional to 150,383, 225,589.74 and 55,638.20 is: 83,462.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,383 : 225,589.74 = 55,638.20 : x
  2. Step 2: Convert to fraction form
    150,383/225,589.74 = 55,638.20/x
  3. Step 3: Cross multiply
    150,383x = 225,589.74 × 55,638.20
  4. Step 4: Simplify right side
    150,383x = 12,551,407,072.07
  5. Step 5: Solve for x
    x = 12,551,407,072.07/150,383
  6. Step 6: Final answer
    x = 83,462.94

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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.