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Finding the Fourth Proportional to 77,728, 107,264.64 and 44,194

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Solution

The fourth proportional to 77,728, 107,264.64 and 44,194 is: 60,987.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,728 : 107,264.64 = 44,194 : x
  2. Step 2: Convert to fraction form
    77,728/107,264.64 = 44,194/x
  3. Step 3: Cross multiply
    77,728x = 107,264.64 × 44,194
  4. Step 4: Simplify right side
    77,728x = 4,740,453,500.16
  5. Step 5: Solve for x
    x = 4,740,453,500.16/77,728
  6. Step 6: Final answer
    x = 60,987.72

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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.