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Finding the Fourth Proportional to 189,896.91, 284,883.78 and 84,715.88

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Solution

The fourth proportional to 189,896.91, 284,883.78 and 84,715.88 is: 127,090.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,896.91 : 284,883.78 = 84,715.88 : x
  2. Step 2: Convert to fraction form
    189,896.91/284,883.78 = 84,715.88/x
  3. Step 3: Cross multiply
    189,896.91x = 284,883.78 × 84,715.88
  4. Step 4: Simplify right side
    189,896.91x = 24,134,179,013.69
  5. Step 5: Solve for x
    x = 24,134,179,013.69/189,896.91
  6. Step 6: Final answer
    x = 127,090.95

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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.