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Finding the Fourth Proportional to 189,716, 261,851.73 and 109,190.03

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Solution

The fourth proportional to 189,716, 261,851.73 and 109,190.03 is: 150,707.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,716 : 261,851.73 = 109,190.03 : x
  2. Step 2: Convert to fraction form
    189,716/261,851.73 = 109,190.03/x
  3. Step 3: Cross multiply
    189,716x = 261,851.73 × 109,190.03
  4. Step 4: Simplify right side
    189,716x = 28,591,598,254.25
  5. Step 5: Solve for x
    x = 28,591,598,254.25/189,716
  6. Step 6: Final answer
    x = 150,707.36

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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.