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Finding the Fourth Proportional to 207,416.64, 311,121.36 and 67,175.52

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Solution

The fourth proportional to 207,416.64, 311,121.36 and 67,175.52 is: 100,762.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,416.64 : 311,121.36 = 67,175.52 : x
  2. Step 2: Convert to fraction form
    207,416.64/311,121.36 = 67,175.52/x
  3. Step 3: Cross multiply
    207,416.64x = 311,121.36 × 67,175.52
  4. Step 4: Simplify right side
    207,416.64x = 20,899,739,141.11
  5. Step 5: Solve for x
    x = 20,899,739,141.11/207,416.64
  6. Step 6: Final answer
    x = 100,762.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.