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Finding the Fourth Proportional to 189,876.15, 284,841.87 and 69,990.48

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Solution

The fourth proportional to 189,876.15, 284,841.87 and 69,990.48 is: 104,995.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,876.15 : 284,841.87 = 69,990.48 : x
  2. Step 2: Convert to fraction form
    189,876.15/284,841.87 = 69,990.48/x
  3. Step 3: Cross multiply
    189,876.15x = 284,841.87 × 69,990.48
  4. Step 4: Simplify right side
    189,876.15x = 19,936,218,942.93
  5. Step 5: Solve for x
    x = 19,936,218,942.93/189,876.15
  6. Step 6: Final answer
    x = 104,995.91

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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.