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Finding the Fourth Proportional to 145,845, 201,283.92 and 82,194.39

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Solution

The fourth proportional to 145,845, 201,283.92 and 82,194.39 is: 113,438.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,845 : 201,283.92 = 82,194.39 : x
  2. Step 2: Convert to fraction form
    145,845/201,283.92 = 82,194.39/x
  3. Step 3: Cross multiply
    145,845x = 201,283.92 × 82,194.39
  4. Step 4: Simplify right side
    145,845x = 16,544,409,021.21
  5. Step 5: Solve for x
    x = 16,544,409,021.21/145,845
  6. Step 6: Final answer
    x = 113,438.30

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1.5x scale

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.