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Finding the Fourth Proportional to 218,793.60, 301,734.72 and 143,383.68

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Solution

The fourth proportional to 218,793.60, 301,734.72 and 143,383.68 is: 197,738.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,793.60 : 301,734.72 = 143,383.68 : x
  2. Step 2: Convert to fraction form
    218,793.60/301,734.72 = 143,383.68/x
  3. Step 3: Cross multiply
    218,793.60x = 301,734.72 × 143,383.68
  4. Step 4: Simplify right side
    218,793.60x = 43,263,834,537.37
  5. Step 5: Solve for x
    x = 43,263,834,537.37/218,793.60
  6. Step 6: Final answer
    x = 197,738.12

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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.