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Finding the Fourth Proportional to 77,942, 107,560 and 44,408

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Solution

The fourth proportional to 77,942, 107,560 and 44,408 is: 61,283.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,942 : 107,560 = 44,408 : x
  2. Step 2: Convert to fraction form
    77,942/107,560 = 44,408/x
  3. Step 3: Cross multiply
    77,942x = 107,560 × 44,408
  4. Step 4: Simplify right side
    77,942x = 4,776,524,480
  5. Step 5: Solve for x
    x = 4,776,524,480/77,942
  6. Step 6: Final answer
    x = 61,283.06

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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.