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Finding the Fourth Proportional to 150,305, 207,420.96 and 83,237

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Solution

The fourth proportional to 150,305, 207,420.96 and 83,237 is: 114,867.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,305 : 207,420.96 = 83,237 : x
  2. Step 2: Convert to fraction form
    150,305/207,420.96 = 83,237/x
  3. Step 3: Cross multiply
    150,305x = 207,420.96 × 83,237
  4. Step 4: Simplify right side
    150,305x = 17,265,098,447.52
  5. Step 5: Solve for x
    x = 17,265,098,447.52/150,305
  6. Step 6: Final answer
    x = 114,867.09

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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.