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Finding the Fourth Proportional to 128,538.40, 192,778.80 and 84,474.40

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Solution

The fourth proportional to 128,538.40, 192,778.80 and 84,474.40 is: 126,692.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,538.40 : 192,778.80 = 84,474.40 : x
  2. Step 2: Convert to fraction form
    128,538.40/192,778.80 = 84,474.40/x
  3. Step 3: Cross multiply
    128,538.40x = 192,778.80 × 84,474.40
  4. Step 4: Simplify right side
    128,538.40x = 16,284,873,462.72
  5. Step 5: Solve for x
    x = 16,284,873,462.72/128,538.40
  6. Step 6: Final answer
    x = 126,692.67

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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.