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Finding the Fourth Proportional to 189,673.75, 261,749.58 and 109,099.20

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Solution

The fourth proportional to 189,673.75, 261,749.58 and 109,099.20 is: 150,556.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,673.75 : 261,749.58 = 109,099.20 : x
  2. Step 2: Convert to fraction form
    189,673.75/261,749.58 = 109,099.20/x
  3. Step 3: Cross multiply
    189,673.75x = 261,749.58 × 109,099.20
  4. Step 4: Simplify right side
    189,673.75x = 28,556,670,350.77
  5. Step 5: Solve for x
    x = 28,556,670,350.77/189,673.75
  6. Step 6: Final answer
    x = 150,556.79

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1.5x scale

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.