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Finding the Fourth Proportional to 118,446, 177,669 and 30,894

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Solution

The fourth proportional to 118,446, 177,669 and 30,894 is: 46,341

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,446 : 177,669 = 30,894 : x
  2. Step 2: Convert to fraction form
    118,446/177,669 = 30,894/x
  3. Step 3: Cross multiply
    118,446x = 177,669 × 30,894
  4. Step 4: Simplify right side
    118,446x = 5,488,906,086
  5. Step 5: Solve for x
    x = 5,488,906,086/118,446
  6. Step 6: Final answer
    x = 46,341

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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.