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Finding the Fourth Proportional to 213,896.64, 321,160.37 and 119,311.63

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Solution

The fourth proportional to 213,896.64, 321,160.37 and 119,311.63 is: 179,143.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,896.64 : 321,160.37 = 119,311.63 : x
  2. Step 2: Convert to fraction form
    213,896.64/321,160.37 = 119,311.63/x
  3. Step 3: Cross multiply
    213,896.64x = 321,160.37 × 119,311.63
  4. Step 4: Simplify right side
    213,896.64x = 38,318,167,236.10
  5. Step 5: Solve for x
    x = 38,318,167,236.10/213,896.64
  6. Step 6: Final answer
    x = 179,143.38

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1.5x scale

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.