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Finding the Fourth Proportional to 77,690, 107,212.32 and 44,156

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Solution

The fourth proportional to 77,690, 107,212.32 and 44,156 is: 60,935.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,690 : 107,212.32 = 44,156 : x
  2. Step 2: Convert to fraction form
    77,690/107,212.32 = 44,156/x
  3. Step 3: Cross multiply
    77,690x = 107,212.32 × 44,156
  4. Step 4: Simplify right side
    77,690x = 4,734,067,201.92
  5. Step 5: Solve for x
    x = 4,734,067,201.92/77,690
  6. Step 6: Final answer
    x = 60,935.35

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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.