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Finding the Fourth Proportional to 218,969.67, 302,226.52 and 142,355.42

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Solution

The fourth proportional to 218,969.67, 302,226.52 and 142,355.42 is: 196,481.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,969.67 : 302,226.52 = 142,355.42 : x
  2. Step 2: Convert to fraction form
    218,969.67/302,226.52 = 142,355.42/x
  3. Step 3: Cross multiply
    218,969.67x = 302,226.52 × 142,355.42
  4. Step 4: Simplify right side
    218,969.67x = 43,023,581,322.72
  5. Step 5: Solve for x
    x = 43,023,581,322.72/218,969.67
  6. Step 6: Final answer
    x = 196,481.92

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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.