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Finding the Fourth Proportional to 150,361.71, 207,499.08 and 82,383

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Solution

The fourth proportional to 150,361.71, 207,499.08 and 82,383 is: 113,688.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,361.71 : 207,499.08 = 82,383 : x
  2. Step 2: Convert to fraction form
    150,361.71/207,499.08 = 82,383/x
  3. Step 3: Cross multiply
    150,361.71x = 207,499.08 × 82,383
  4. Step 4: Simplify right side
    150,361.71x = 17,094,396,707.64
  5. Step 5: Solve for x
    x = 17,094,396,707.64/150,361.71
  6. Step 6: Final answer
    x = 113,688.50

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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.