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Finding the Fourth Proportional to 199,079.64, 274,729.92 and 109,655.64

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Solution

The fourth proportional to 199,079.64, 274,729.92 and 109,655.64 is: 151,324.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,079.64 : 274,729.92 = 109,655.64 : x
  2. Step 2: Convert to fraction form
    199,079.64/274,729.92 = 109,655.64/x
  3. Step 3: Cross multiply
    199,079.64x = 274,729.92 × 109,655.64
  4. Step 4: Simplify right side
    199,079.64x = 30,125,685,204.75
  5. Step 5: Solve for x
    x = 30,125,685,204.75/199,079.64
  6. Step 6: Final answer
    x = 151,324.79

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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.