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Finding the Fourth Proportional to 189,928.22, 285,112.30 and 111,099.02

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Solution

The fourth proportional to 189,928.22, 285,112.30 and 111,099.02 is: 166,777.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,928.22 : 285,112.30 = 111,099.02 : x
  2. Step 2: Convert to fraction form
    189,928.22/285,112.30 = 111,099.02/x
  3. Step 3: Cross multiply
    189,928.22x = 285,112.30 × 111,099.02
  4. Step 4: Simplify right side
    189,928.22x = 31,675,697,119.95
  5. Step 5: Solve for x
    x = 31,675,697,119.95/189,928.22
  6. Step 6: Final answer
    x = 166,777.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.