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Finding the Fourth Proportional to 218,372.48, 301,329.60 and 122,912

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Solution

The fourth proportional to 218,372.48, 301,329.60 and 122,912 is: 169,604.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,372.48 : 301,329.60 = 122,912 : x
  2. Step 2: Convert to fraction form
    218,372.48/301,329.60 = 122,912/x
  3. Step 3: Cross multiply
    218,372.48x = 301,329.60 × 122,912
  4. Step 4: Simplify right side
    218,372.48x = 37,037,023,795.20
  5. Step 5: Solve for x
    x = 37,037,023,795.20/218,372.48
  6. Step 6: Final answer
    x = 169,604.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.