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Finding the Fourth Proportional to 144,729.20, 217,132.20 and 51,225.20

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Solution

The fourth proportional to 144,729.20, 217,132.20 and 51,225.20 is: 76,851.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,729.20 : 217,132.20 = 51,225.20 : x
  2. Step 2: Convert to fraction form
    144,729.20/217,132.20 = 51,225.20/x
  3. Step 3: Cross multiply
    144,729.20x = 217,132.20 × 51,225.20
  4. Step 4: Simplify right side
    144,729.20x = 11,122,640,371.44
  5. Step 5: Solve for x
    x = 11,122,640,371.44/144,729.20
  6. Step 6: Final answer
    x = 76,851.39

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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.