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Finding the Fourth Proportional to 216,852, 299,440.44 and 136,414.14

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Solution

The fourth proportional to 216,852, 299,440.44 and 136,414.14 is: 188,367.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,852 : 299,440.44 = 136,414.14 : x
  2. Step 2: Convert to fraction form
    216,852/299,440.44 = 136,414.14/x
  3. Step 3: Cross multiply
    216,852x = 299,440.44 × 136,414.14
  4. Step 4: Simplify right side
    216,852x = 40,847,910,103.82
  5. Step 5: Solve for x
    x = 40,847,910,103.82/216,852
  6. Step 6: Final answer
    x = 188,367.69

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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.