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Finding the Fourth Proportional to 150,320, 207,448.08 and 83,252

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Solution

The fourth proportional to 150,320, 207,448.08 and 83,252 is: 114,891.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,320 : 207,448.08 = 83,252 : x
  2. Step 2: Convert to fraction form
    150,320/207,448.08 = 83,252/x
  3. Step 3: Cross multiply
    150,320x = 207,448.08 × 83,252
  4. Step 4: Simplify right side
    150,320x = 17,270,467,556.16
  5. Step 5: Solve for x
    x = 17,270,467,556.16/150,320
  6. Step 6: Final answer
    x = 114,891.35

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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.