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Finding the Fourth Proportional to 105,991.44, 158,981.76 and 39,405.84

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Solution

The fourth proportional to 105,991.44, 158,981.76 and 39,405.84 is: 59,106.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,991.44 : 158,981.76 = 39,405.84 : x
  2. Step 2: Convert to fraction form
    105,991.44/158,981.76 = 39,405.84/x
  3. Step 3: Cross multiply
    105,991.44x = 158,981.76 × 39,405.84
  4. Step 4: Simplify right side
    105,991.44x = 6,264,809,797.48
  5. Step 5: Solve for x
    x = 6,264,809,797.48/105,991.44
  6. Step 6: Final answer
    x = 59,106.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.