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Finding the Fourth Proportional to 263,666.26, 395,566.62 and 76,677.76

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Solution

The fourth proportional to 263,666.26, 395,566.62 and 76,677.76 is: 115,036.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,666.26 : 395,566.62 = 76,677.76 : x
  2. Step 2: Convert to fraction form
    263,666.26/395,566.62 = 76,677.76/x
  3. Step 3: Cross multiply
    263,666.26x = 395,566.62 × 76,677.76
  4. Step 4: Simplify right side
    263,666.26x = 30,331,162,352.37
  5. Step 5: Solve for x
    x = 30,331,162,352.37/263,666.26
  6. Step 6: Final answer
    x = 115,036.19

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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.