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Finding the Fourth Proportional to 80,841, 111,589.74 and 47,307

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Solution

The fourth proportional to 80,841, 111,589.74 and 47,307 is: 65,300.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,841 : 111,589.74 = 47,307 : x
  2. Step 2: Convert to fraction form
    80,841/111,589.74 = 47,307/x
  3. Step 3: Cross multiply
    80,841x = 111,589.74 × 47,307
  4. Step 4: Simplify right side
    80,841x = 5,278,975,830.18
  5. Step 5: Solve for x
    x = 5,278,975,830.18/80,841
  6. Step 6: Final answer
    x = 65,300.72

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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.