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Finding the Fourth Proportional to 255,781.68, 352,965.78 and 141,080.28

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Solution

The fourth proportional to 255,781.68, 352,965.78 and 141,080.28 is: 194,683.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,781.68 : 352,965.78 = 141,080.28 : x
  2. Step 2: Convert to fraction form
    255,781.68/352,965.78 = 141,080.28/x
  3. Step 3: Cross multiply
    255,781.68x = 352,965.78 × 141,080.28
  4. Step 4: Simplify right side
    255,781.68x = 49,796,511,072.82
  5. Step 5: Solve for x
    x = 49,796,511,072.82/255,781.68
  6. Step 6: Final answer
    x = 194,683.65

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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.