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Finding the Fourth Proportional to 189,700.72, 261,764.60 and 113,205.67

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Solution

The fourth proportional to 189,700.72, 261,764.60 and 113,205.67 is: 156,210.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,700.72 : 261,764.60 = 113,205.67 : x
  2. Step 2: Convert to fraction form
    189,700.72/261,764.60 = 113,205.67/x
  3. Step 3: Cross multiply
    189,700.72x = 261,764.60 × 113,205.67
  4. Step 4: Simplify right side
    189,700.72x = 29,633,235,704.84
  5. Step 5: Solve for x
    x = 29,633,235,704.84/189,700.72
  6. Step 6: Final answer
    x = 156,210.46

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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.