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Finding the Fourth Proportional to 255,682.19, 352,843.90 and 140,965.40

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Solution

The fourth proportional to 255,682.19, 352,843.90 and 140,965.40 is: 194,533.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,682.19 : 352,843.90 = 140,965.40 : x
  2. Step 2: Convert to fraction form
    255,682.19/352,843.90 = 140,965.40/x
  3. Step 3: Cross multiply
    255,682.19x = 352,843.90 × 140,965.40
  4. Step 4: Simplify right side
    255,682.19x = 49,738,782,030.76
  5. Step 5: Solve for x
    x = 49,738,782,030.76/255,682.19
  6. Step 6: Final answer
    x = 194,533.62

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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.