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Finding the Fourth Proportional to 255,665.44, 352,830.36 and 142,489

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Solution

The fourth proportional to 255,665.44, 352,830.36 and 142,489 is: 196,641.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,665.44 : 352,830.36 = 142,489 : x
  2. Step 2: Convert to fraction form
    255,665.44/352,830.36 = 142,489/x
  3. Step 3: Cross multiply
    255,665.44x = 352,830.36 × 142,489
  4. Step 4: Simplify right side
    255,665.44x = 50,274,445,166.04
  5. Step 5: Solve for x
    x = 50,274,445,166.04/255,665.44
  6. Step 6: Final answer
    x = 196,641.54

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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.