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Finding the Fourth Proportional to 84,898.56, 117,163.08 and 47,172

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Solution

The fourth proportional to 84,898.56, 117,163.08 and 47,172 is: 65,099.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,898.56 : 117,163.08 = 47,172 : x
  2. Step 2: Convert to fraction form
    84,898.56/117,163.08 = 47,172/x
  3. Step 3: Cross multiply
    84,898.56x = 117,163.08 × 47,172
  4. Step 4: Simplify right side
    84,898.56x = 5,526,816,809.76
  5. Step 5: Solve for x
    x = 5,526,816,809.76/84,898.56
  6. Step 6: Final answer
    x = 65,099.06

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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.