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Finding the Fourth Proportional to 214,457.80, 321,764.70 and 74,230.60

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Solution

The fourth proportional to 214,457.80, 321,764.70 and 74,230.60 is: 111,372.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,457.80 : 321,764.70 = 74,230.60 : x
  2. Step 2: Convert to fraction form
    214,457.80/321,764.70 = 74,230.60/x
  3. Step 3: Cross multiply
    214,457.80x = 321,764.70 × 74,230.60
  4. Step 4: Simplify right side
    214,457.80x = 23,884,786,739.82
  5. Step 5: Solve for x
    x = 23,884,786,739.82/214,457.80
  6. Step 6: Final answer
    x = 111,372.90

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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.