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Finding the Fourth Proportional to 189,937.44, 284,971.68 and 71,642.64

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Solution

The fourth proportional to 189,937.44, 284,971.68 and 71,642.64 is: 107,488.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,937.44 : 284,971.68 = 71,642.64 : x
  2. Step 2: Convert to fraction form
    189,937.44/284,971.68 = 71,642.64/x
  3. Step 3: Cross multiply
    189,937.44x = 284,971.68 × 71,642.64
  4. Step 4: Simplify right side
    189,937.44x = 20,416,123,480.44
  5. Step 5: Solve for x
    x = 20,416,123,480.44/189,937.44
  6. Step 6: Final answer
    x = 107,488.67

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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.