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Finding the Fourth Proportional to 90,993.36, 136,529.76 and 31,871.44

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Solution

The fourth proportional to 90,993.36, 136,529.76 and 31,871.44 is: 47,821.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,993.36 : 136,529.76 = 31,871.44 : x
  2. Step 2: Convert to fraction form
    90,993.36/136,529.76 = 31,871.44/x
  3. Step 3: Cross multiply
    90,993.36x = 136,529.76 × 31,871.44
  4. Step 4: Simplify right side
    90,993.36x = 4,351,400,054.05
  5. Step 5: Solve for x
    x = 4,351,400,054.05/90,993.36
  6. Step 6: Final answer
    x = 47,821.07

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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.