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Finding the Fourth Proportional to 189,661.44, 284,503.13 and 71,333.81

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Solution

The fourth proportional to 189,661.44, 284,503.13 and 71,333.81 is: 107,004.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,661.44 : 284,503.13 = 71,333.81 : x
  2. Step 2: Convert to fraction form
    189,661.44/284,503.13 = 71,333.81/x
  3. Step 3: Cross multiply
    189,661.44x = 284,503.13 × 71,333.81
  4. Step 4: Simplify right side
    189,661.44x = 20,294,690,440.64
  5. Step 5: Solve for x
    x = 20,294,690,440.64/189,661.44
  6. Step 6: Final answer
    x = 107,004.83

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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.