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Finding the Fourth Proportional to 189,694.91, 284,558.47 and 77,382.74

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Solution

The fourth proportional to 189,694.91, 284,558.47 and 77,382.74 is: 116,080.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,694.91 : 284,558.47 = 77,382.74 : x
  2. Step 2: Convert to fraction form
    189,694.91/284,558.47 = 77,382.74/x
  3. Step 3: Cross multiply
    189,694.91x = 284,558.47 × 77,382.74
  4. Step 4: Simplify right side
    189,694.91x = 22,019,914,616.75
  5. Step 5: Solve for x
    x = 22,019,914,616.75/189,694.91
  6. Step 6: Final answer
    x = 116,080.68

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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.