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Finding the Fourth Proportional to 213,429.65, 320,157.01 and 80,311.07

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Solution

The fourth proportional to 213,429.65, 320,157.01 and 80,311.07 is: 120,471.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,429.65 : 320,157.01 = 80,311.07 : x
  2. Step 2: Convert to fraction form
    213,429.65/320,157.01 = 80,311.07/x
  3. Step 3: Cross multiply
    213,429.65x = 320,157.01 × 80,311.07
  4. Step 4: Simplify right side
    213,429.65x = 25,712,150,239.54
  5. Step 5: Solve for x
    x = 25,712,150,239.54/213,429.65
  6. Step 6: Final answer
    x = 120,471.31

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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.