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Finding the Fourth Proportional to 85,410.48, 117,868.05 and 47,172

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Solution

The fourth proportional to 85,410.48, 117,868.05 and 47,172 is: 65,098.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,410.48 : 117,868.05 = 47,172 : x
  2. Step 2: Convert to fraction form
    85,410.48/117,868.05 = 47,172/x
  3. Step 3: Cross multiply
    85,410.48x = 117,868.05 × 47,172
  4. Step 4: Simplify right side
    85,410.48x = 5,560,071,654.60
  5. Step 5: Solve for x
    x = 5,560,071,654.60/85,410.48
  6. Step 6: Final answer
    x = 65,098.24

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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.