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Finding the Fourth Proportional to 255,969.12, 353,236.32 and 142,791.96

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Solution

The fourth proportional to 255,969.12, 353,236.32 and 142,791.96 is: 197,052.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,969.12 : 353,236.32 = 142,791.96 : x
  2. Step 2: Convert to fraction form
    255,969.12/353,236.32 = 142,791.96/x
  3. Step 3: Cross multiply
    255,969.12x = 353,236.32 × 142,791.96
  4. Step 4: Simplify right side
    255,969.12x = 50,439,306,475.99
  5. Step 5: Solve for x
    x = 50,439,306,475.99/255,969.12
  6. Step 6: Final answer
    x = 197,052.31

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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.