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Finding the Fourth Proportional to 201,016, 301,662.24 and 69,688

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Solution

The fourth proportional to 201,016, 301,662.24 and 69,688 is: 104,579.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,016 : 301,662.24 = 69,688 : x
  2. Step 2: Convert to fraction form
    201,016/301,662.24 = 69,688/x
  3. Step 3: Cross multiply
    201,016x = 301,662.24 × 69,688
  4. Step 4: Simplify right side
    201,016x = 21,022,238,181.12
  5. Step 5: Solve for x
    x = 21,022,238,181.12/201,016
  6. Step 6: Final answer
    x = 104,579.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.