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Finding the Fourth Proportional to 214,372.80, 321,559.20 and 74,116.80

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Solution

The fourth proportional to 214,372.80, 321,559.20 and 74,116.80 is: 111,175.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,372.80 : 321,559.20 = 74,116.80 : x
  2. Step 2: Convert to fraction form
    214,372.80/321,559.20 = 74,116.80/x
  3. Step 3: Cross multiply
    214,372.80x = 321,559.20 × 74,116.80
  4. Step 4: Simplify right side
    214,372.80x = 23,832,938,914.56
  5. Step 5: Solve for x
    x = 23,832,938,914.56/214,372.80
  6. Step 6: Final answer
    x = 111,175.20

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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.