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Finding the Fourth Proportional to 85,311, 117,723.84 and 47,071

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Solution

The fourth proportional to 85,311, 117,723.84 and 47,071 is: 64,955.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,311 : 117,723.84 = 47,071 : x
  2. Step 2: Convert to fraction form
    85,311/117,723.84 = 47,071/x
  3. Step 3: Cross multiply
    85,311x = 117,723.84 × 47,071
  4. Step 4: Simplify right side
    85,311x = 5,541,378,872.64
  5. Step 5: Solve for x
    x = 5,541,378,872.64/85,311
  6. Step 6: Final answer
    x = 64,955.03

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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.