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Finding the Fourth Proportional to 223,830, 335,745 and 76,086

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Solution

The fourth proportional to 223,830, 335,745 and 76,086 is: 114,129

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,830 : 335,745 = 76,086 : x
  2. Step 2: Convert to fraction form
    223,830/335,745 = 76,086/x
  3. Step 3: Cross multiply
    223,830x = 335,745 × 76,086
  4. Step 4: Simplify right side
    223,830x = 25,545,494,070
  5. Step 5: Solve for x
    x = 25,545,494,070/223,830
  6. Step 6: Final answer
    x = 114,129

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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.