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Finding the Fourth Proportional to 80,983, 111,771.66 and 47,449

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Solution

The fourth proportional to 80,983, 111,771.66 and 47,449 is: 65,488.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,983 : 111,771.66 = 47,449 : x
  2. Step 2: Convert to fraction form
    80,983/111,771.66 = 47,449/x
  3. Step 3: Cross multiply
    80,983x = 111,771.66 × 47,449
  4. Step 4: Simplify right side
    80,983x = 5,303,453,495.34
  5. Step 5: Solve for x
    x = 5,303,453,495.34/80,983
  6. Step 6: Final answer
    x = 65,488.48

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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.