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Finding the Fourth Proportional to 189,786.80, 284,768.76 and 84,594.80

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Solution

The fourth proportional to 189,786.80, 284,768.76 and 84,594.80 is: 126,931.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,786.80 : 284,768.76 = 84,594.80 : x
  2. Step 2: Convert to fraction form
    189,786.80/284,768.76 = 84,594.80/x
  3. Step 3: Cross multiply
    189,786.80x = 284,768.76 × 84,594.80
  4. Step 4: Simplify right side
    189,786.80x = 24,089,956,298.45
  5. Step 5: Solve for x
    x = 24,089,956,298.45/189,786.80
  6. Step 6: Final answer
    x = 126,931.67

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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.