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Finding the Fourth Proportional to 76,471.62, 105,504.30 and 49,647.66

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Solution

The fourth proportional to 76,471.62, 105,504.30 and 49,647.66 is: 68,496.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,471.62 : 105,504.30 = 49,647.66 : x
  2. Step 2: Convert to fraction form
    76,471.62/105,504.30 = 49,647.66/x
  3. Step 3: Cross multiply
    76,471.62x = 105,504.30 × 49,647.66
  4. Step 4: Simplify right side
    76,471.62x = 5,238,041,614.94
  5. Step 5: Solve for x
    x = 5,238,041,614.94/76,471.62
  6. Step 6: Final answer
    x = 68,496.54

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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.