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Finding the Fourth Proportional to 189,361.68, 283,771.80 and 139,047

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Solution

The fourth proportional to 189,361.68, 283,771.80 and 139,047 is: 208,371.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,361.68 : 283,771.80 = 139,047 : x
  2. Step 2: Convert to fraction form
    189,361.68/283,771.80 = 139,047/x
  3. Step 3: Cross multiply
    189,361.68x = 283,771.80 × 139,047
  4. Step 4: Simplify right side
    189,361.68x = 39,457,617,474.60
  5. Step 5: Solve for x
    x = 39,457,617,474.60/189,361.68
  6. Step 6: Final answer
    x = 208,371.71

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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.