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Finding the Fourth Proportional to 199,343.81, 275,094.46 and 109,919.81

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Solution

The fourth proportional to 199,343.81, 275,094.46 and 109,919.81 is: 151,689.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,343.81 : 275,094.46 = 109,919.81 : x
  2. Step 2: Convert to fraction form
    199,343.81/275,094.46 = 109,919.81/x
  3. Step 3: Cross multiply
    199,343.81x = 275,094.46 × 109,919.81
  4. Step 4: Simplify right side
    199,343.81x = 30,238,331,600.39
  5. Step 5: Solve for x
    x = 30,238,331,600.39/199,343.81
  6. Step 6: Final answer
    x = 151,689.34

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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.