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Finding the Fourth Proportional to 77,991.42, 107,628.84 and 49,696.50

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Solution

The fourth proportional to 77,991.42, 107,628.84 and 49,696.50 is: 68,581.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,991.42 : 107,628.84 = 49,696.50 : x
  2. Step 2: Convert to fraction form
    77,991.42/107,628.84 = 49,696.50/x
  3. Step 3: Cross multiply
    77,991.42x = 107,628.84 × 49,696.50
  4. Step 4: Simplify right side
    77,991.42x = 5,348,776,647.06
  5. Step 5: Solve for x
    x = 5,348,776,647.06/77,991.42
  6. Step 6: Final answer
    x = 68,581.60

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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.