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Finding the Fourth Proportional to 189,674.30, 284,651.76 and 89,834.66

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Solution

The fourth proportional to 189,674.30, 284,651.76 and 89,834.66 is: 134,818.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,674.30 : 284,651.76 = 89,834.66 : x
  2. Step 2: Convert to fraction form
    189,674.30/284,651.76 = 89,834.66/x
  3. Step 3: Cross multiply
    189,674.30x = 284,651.76 × 89,834.66
  4. Step 4: Simplify right side
    189,674.30x = 25,571,594,078.00
  5. Step 5: Solve for x
    x = 25,571,594,078.00/189,674.30
  6. Step 6: Final answer
    x = 134,818.44

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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.