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Finding the Fourth Proportional to 85,471.56, 117,957.63 and 47,234.46

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Solution

The fourth proportional to 85,471.56, 117,957.63 and 47,234.46 is: 65,187.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,471.56 : 117,957.63 = 47,234.46 : x
  2. Step 2: Convert to fraction form
    85,471.56/117,957.63 = 47,234.46/x
  3. Step 3: Cross multiply
    85,471.56x = 117,957.63 × 47,234.46
  4. Step 4: Simplify right side
    85,471.56x = 5,571,664,955.93
  5. Step 5: Solve for x
    x = 5,571,664,955.93/85,471.56
  6. Step 6: Final answer
    x = 65,187.36

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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.