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Finding the Fourth Proportional to 150,048, 206,852.52 and 102,240

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Solution

The fourth proportional to 150,048, 206,852.52 and 102,240 is: 140,945.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,048 : 206,852.52 = 102,240 : x
  2. Step 2: Convert to fraction form
    150,048/206,852.52 = 102,240/x
  3. Step 3: Cross multiply
    150,048x = 206,852.52 × 102,240
  4. Step 4: Simplify right side
    150,048x = 21,148,601,644.80
  5. Step 5: Solve for x
    x = 21,148,601,644.80/150,048
  6. Step 6: Final answer
    x = 140,945.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.