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Finding the Fourth Proportional to 255,843.86, 353,065.91 and 141,126.53

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Solution

The fourth proportional to 255,843.86, 353,065.91 and 141,126.53 is: 194,755.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,843.86 : 353,065.91 = 141,126.53 : x
  2. Step 2: Convert to fraction form
    255,843.86/353,065.91 = 141,126.53/x
  3. Step 3: Cross multiply
    255,843.86x = 353,065.91 × 141,126.53
  4. Step 4: Simplify right side
    255,843.86x = 49,826,964,268.63
  5. Step 5: Solve for x
    x = 49,826,964,268.63/255,843.86
  6. Step 6: Final answer
    x = 194,755.37

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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.