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Finding the Fourth Proportional to 150,318, 207,435.06 and 82,335.06

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Solution

The fourth proportional to 150,318, 207,435.06 and 82,335.06 is: 113,620.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,318 : 207,435.06 = 82,335.06 : x
  2. Step 2: Convert to fraction form
    150,318/207,435.06 = 82,335.06/x
  3. Step 3: Cross multiply
    150,318x = 207,435.06 × 82,335.06
  4. Step 4: Simplify right side
    150,318x = 17,079,178,111.20
  5. Step 5: Solve for x
    x = 17,079,178,111.20/150,318
  6. Step 6: Final answer
    x = 113,620.31

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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.