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Finding the Fourth Proportional to 150,642.02, 207,885.84 and 82,659.38

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Solution

The fourth proportional to 150,642.02, 207,885.84 and 82,659.38 is: 114,069.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,642.02 : 207,885.84 = 82,659.38 : x
  2. Step 2: Convert to fraction form
    150,642.02/207,885.84 = 82,659.38/x
  3. Step 3: Cross multiply
    150,642.02x = 207,885.84 × 82,659.38
  4. Step 4: Simplify right side
    150,642.02x = 17,183,714,645.18
  5. Step 5: Solve for x
    x = 17,183,714,645.18/150,642.02
  6. Step 6: Final answer
    x = 114,069.86

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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.