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Finding the Fourth Proportional to 87,670.94, 120,984.99 and 49,946

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Solution

The fourth proportional to 87,670.94, 120,984.99 and 49,946 is: 68,924.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,670.94 : 120,984.99 = 49,946 : x
  2. Step 2: Convert to fraction form
    87,670.94/120,984.99 = 49,946/x
  3. Step 3: Cross multiply
    87,670.94x = 120,984.99 × 49,946
  4. Step 4: Simplify right side
    87,670.94x = 6,042,716,310.54
  5. Step 5: Solve for x
    x = 6,042,716,310.54/87,670.94
  6. Step 6: Final answer
    x = 68,924.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.