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Finding the Fourth Proportional to 76,471.02, 105,568.38 and 47,806.61

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Solution

The fourth proportional to 76,471.02, 105,568.38 and 47,806.61 is: 65,997.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,471.02 : 105,568.38 = 47,806.61 : x
  2. Step 2: Convert to fraction form
    76,471.02/105,568.38 = 47,806.61/x
  3. Step 3: Cross multiply
    76,471.02x = 105,568.38 × 47,806.61
  4. Step 4: Simplify right side
    76,471.02x = 5,046,865,843.15
  5. Step 5: Solve for x
    x = 5,046,865,843.15/76,471.02
  6. Step 6: Final answer
    x = 65,997.10

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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.