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Finding the Fourth Proportional to 189,754.81, 284,678.93 and 133,704.38

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Solution

The fourth proportional to 189,754.81, 284,678.93 and 133,704.38 is: 200,589.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,754.81 : 284,678.93 = 133,704.38 : x
  2. Step 2: Convert to fraction form
    189,754.81/284,678.93 = 133,704.38/x
  3. Step 3: Cross multiply
    189,754.81x = 284,678.93 × 133,704.38
  4. Step 4: Simplify right side
    189,754.81x = 38,062,817,742.80
  5. Step 5: Solve for x
    x = 38,062,817,742.80/189,754.81
  6. Step 6: Final answer
    x = 200,589.48

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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.