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Finding the Fourth Proportional to 201,231.70, 301,501.95 and 106,321.30

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Solution

The fourth proportional to 201,231.70, 301,501.95 and 106,321.30 is: 159,299.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,231.70 : 301,501.95 = 106,321.30 : x
  2. Step 2: Convert to fraction form
    201,231.70/301,501.95 = 106,321.30/x
  3. Step 3: Cross multiply
    201,231.70x = 301,501.95 × 106,321.30
  4. Step 4: Simplify right side
    201,231.70x = 32,056,079,276.54
  5. Step 5: Solve for x
    x = 32,056,079,276.54/201,231.70
  6. Step 6: Final answer
    x = 159,299.35

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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.