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Finding the Fourth Proportional to 255,202.30, 352,171.83 and 142,022.62

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Solution

The fourth proportional to 255,202.30, 352,171.83 and 142,022.62 is: 195,987.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,202.30 : 352,171.83 = 142,022.62 : x
  2. Step 2: Convert to fraction form
    255,202.30/352,171.83 = 142,022.62/x
  3. Step 3: Cross multiply
    255,202.30x = 352,171.83 × 142,022.62
  4. Step 4: Simplify right side
    255,202.30x = 50,016,365,986.79
  5. Step 5: Solve for x
    x = 50,016,365,986.79/255,202.30
  6. Step 6: Final answer
    x = 195,987.13

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