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Finding the Fourth Proportional to 202,321.64, 279,206.19 and 111,677.68

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Solution

The fourth proportional to 202,321.64, 279,206.19 and 111,677.68 is: 154,116.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,321.64 : 279,206.19 = 111,677.68 : x
  2. Step 2: Convert to fraction form
    202,321.64/279,206.19 = 111,677.68/x
  3. Step 3: Cross multiply
    202,321.64x = 279,206.19 × 111,677.68
  4. Step 4: Simplify right side
    202,321.64x = 31,181,099,889.85
  5. Step 5: Solve for x
    x = 31,181,099,889.85/202,321.64
  6. Step 6: Final answer
    x = 154,116.48

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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.