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Finding the Fourth Proportional to 150,286, 207,394.68 and 83,218

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Solution

The fourth proportional to 150,286, 207,394.68 and 83,218 is: 114,840.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,286 : 207,394.68 = 83,218 : x
  2. Step 2: Convert to fraction form
    150,286/207,394.68 = 83,218/x
  3. Step 3: Cross multiply
    150,286x = 207,394.68 × 83,218
  4. Step 4: Simplify right side
    150,286x = 17,258,970,480.24
  5. Step 5: Solve for x
    x = 17,258,970,480.24/150,286
  6. Step 6: Final answer
    x = 114,840.84

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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.