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Finding the Fourth Proportional to 263,543.86, 395,389.61 and 105,883.03

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Solution

The fourth proportional to 263,543.86, 395,389.61 and 105,883.03 is: 158,854.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,543.86 : 395,389.61 = 105,883.03 : x
  2. Step 2: Convert to fraction form
    263,543.86/395,389.61 = 105,883.03/x
  3. Step 3: Cross multiply
    263,543.86x = 395,389.61 × 105,883.03
  4. Step 4: Simplify right side
    263,543.86x = 41,865,049,937.32
  5. Step 5: Solve for x
    x = 41,865,049,937.32/263,543.86
  6. Step 6: Final answer
    x = 158,854.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.