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Finding the Fourth Proportional to 189,249.81, 283,863.57 and 70,911.24

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Solution

The fourth proportional to 189,249.81, 283,863.57 and 70,911.24 is: 106,362.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,249.81 : 283,863.57 = 70,911.24 : x
  2. Step 2: Convert to fraction form
    189,249.81/283,863.57 = 70,911.24/x
  3. Step 3: Cross multiply
    189,249.81x = 283,863.57 × 70,911.24
  4. Step 4: Simplify right side
    189,249.81x = 20,129,117,739.53
  5. Step 5: Solve for x
    x = 20,129,117,739.53/189,249.81
  6. Step 6: Final answer
    x = 106,362.68

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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.