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Finding the Fourth Proportional to 199,419.75, 275,199.26 and 109,995.75

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Solution

The fourth proportional to 199,419.75, 275,199.26 and 109,995.75 is: 151,794.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,419.75 : 275,199.26 = 109,995.75 : x
  2. Step 2: Convert to fraction form
    199,419.75/275,199.26 = 109,995.75/x
  3. Step 3: Cross multiply
    199,419.75x = 275,199.26 × 109,995.75
  4. Step 4: Simplify right side
    199,419.75x = 30,270,748,453.17
  5. Step 5: Solve for x
    x = 30,270,748,453.17/199,419.75
  6. Step 6: Final answer
    x = 151,794.14

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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.