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Finding the Fourth Proportional to 189,403.64, 284,022.32 and 70,991.94

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Solution

The fourth proportional to 189,403.64, 284,022.32 and 70,991.94 is: 106,456.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,403.64 : 284,022.32 = 70,991.94 : x
  2. Step 2: Convert to fraction form
    189,403.64/284,022.32 = 70,991.94/x
  3. Step 3: Cross multiply
    189,403.64x = 284,022.32 × 70,991.94
  4. Step 4: Simplify right side
    189,403.64x = 20,163,295,145.14
  5. Step 5: Solve for x
    x = 20,163,295,145.14/189,403.64
  6. Step 6: Final answer
    x = 106,456.75

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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.