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Finding the Fourth Proportional to 105,271.44, 157,990.96 and 55,380.64

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Solution

The fourth proportional to 105,271.44, 157,990.96 and 55,380.64 is: 83,115.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,271.44 : 157,990.96 = 55,380.64 : x
  2. Step 2: Convert to fraction form
    105,271.44/157,990.96 = 55,380.64/x
  3. Step 3: Cross multiply
    105,271.44x = 157,990.96 × 55,380.64
  4. Step 4: Simplify right side
    105,271.44x = 8,749,640,479.01
  5. Step 5: Solve for x
    x = 8,749,640,479.01/105,271.44
  6. Step 6: Final answer
    x = 83,115.05

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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.