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Finding the Fourth Proportional to 189,004.53, 283,548.28 and 138,932.81

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Solution

The fourth proportional to 189,004.53, 283,548.28 and 138,932.81 is: 208,429.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,004.53 : 283,548.28 = 138,932.81 : x
  2. Step 2: Convert to fraction form
    189,004.53/283,548.28 = 138,932.81/x
  3. Step 3: Cross multiply
    189,004.53x = 283,548.28 × 138,932.81
  4. Step 4: Simplify right side
    189,004.53x = 39,394,159,311.07
  5. Step 5: Solve for x
    x = 39,394,159,311.07/189,004.53
  6. Step 6: Final answer
    x = 208,429.71

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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.