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Finding the Fourth Proportional to 150,297, 207,409.92 and 83,229

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Solution

The fourth proportional to 150,297, 207,409.92 and 83,229 is: 114,856.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,297 : 207,409.92 = 83,229 : x
  2. Step 2: Convert to fraction form
    150,297/207,409.92 = 83,229/x
  3. Step 3: Cross multiply
    150,297x = 207,409.92 × 83,229
  4. Step 4: Simplify right side
    150,297x = 17,262,520,231.68
  5. Step 5: Solve for x
    x = 17,262,520,231.68/150,297
  6. Step 6: Final answer
    x = 114,856.05

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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.