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Finding the Fourth Proportional to 189,715.98, 284,623.17 and 100,896.45

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Solution

The fourth proportional to 189,715.98, 284,623.17 and 100,896.45 is: 151,370.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,715.98 : 284,623.17 = 100,896.45 : x
  2. Step 2: Convert to fraction form
    189,715.98/284,623.17 = 100,896.45/x
  3. Step 3: Cross multiply
    189,715.98x = 284,623.17 × 100,896.45
  4. Step 4: Simplify right side
    189,715.98x = 28,717,467,440.75
  5. Step 5: Solve for x
    x = 28,717,467,440.75/189,715.98
  6. Step 6: Final answer
    x = 151,370.84

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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.