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Finding the Fourth Proportional to 189,904.71, 284,857.07 and 49,662.12

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Solution

The fourth proportional to 189,904.71, 284,857.07 and 49,662.12 is: 74,493.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,904.71 : 284,857.07 = 49,662.12 : x
  2. Step 2: Convert to fraction form
    189,904.71/284,857.07 = 49,662.12/x
  3. Step 3: Cross multiply
    189,904.71x = 284,857.07 × 49,662.12
  4. Step 4: Simplify right side
    189,904.71x = 14,146,605,744.88
  5. Step 5: Solve for x
    x = 14,146,605,744.88/189,904.71
  6. Step 6: Final answer
    x = 74,493.18

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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.