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Finding the Fourth Proportional to 189,383.46, 284,120.30 and 71,055.83

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Solution

The fourth proportional to 189,383.46, 284,120.30 and 71,055.83 is: 106,600.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,383.46 : 284,120.30 = 71,055.83 : x
  2. Step 2: Convert to fraction form
    189,383.46/284,120.30 = 71,055.83/x
  3. Step 3: Cross multiply
    189,383.46x = 284,120.30 × 71,055.83
  4. Step 4: Simplify right side
    189,383.46x = 20,188,403,758.63
  5. Step 5: Solve for x
    x = 20,188,403,758.63/189,383.46
  6. Step 6: Final answer
    x = 106,600.67

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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.