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Finding the Fourth Proportional to 77,841, 107,420.70 and 44,307

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Solution

The fourth proportional to 77,841, 107,420.70 and 44,307 is: 61,143.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,841 : 107,420.70 = 44,307 : x
  2. Step 2: Convert to fraction form
    77,841/107,420.70 = 44,307/x
  3. Step 3: Cross multiply
    77,841x = 107,420.70 × 44,307
  4. Step 4: Simplify right side
    77,841x = 4,759,488,954.90
  5. Step 5: Solve for x
    x = 4,759,488,954.90/77,841
  6. Step 6: Final answer
    x = 61,143.73

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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.