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Finding the Fourth Proportional to 207,131.38, 285,851.64 and 116,515.87

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Solution

The fourth proportional to 207,131.38, 285,851.64 and 116,515.87 is: 160,797.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,131.38 : 285,851.64 = 116,515.87 : x
  2. Step 2: Convert to fraction form
    207,131.38/285,851.64 = 116,515.87/x
  3. Step 3: Cross multiply
    207,131.38x = 285,851.64 × 116,515.87
  4. Step 4: Simplify right side
    207,131.38x = 33,306,252,525.53
  5. Step 5: Solve for x
    x = 33,306,252,525.53/207,131.38
  6. Step 6: Final answer
    x = 160,797.71

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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.