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Finding the Fourth Proportional to 205,380.54, 308,068.92 and 110,655.36

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Solution

The fourth proportional to 205,380.54, 308,068.92 and 110,655.36 is: 165,982.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,380.54 : 308,068.92 = 110,655.36 : x
  2. Step 2: Convert to fraction form
    205,380.54/308,068.92 = 110,655.36/x
  3. Step 3: Cross multiply
    205,380.54x = 308,068.92 × 110,655.36
  4. Step 4: Simplify right side
    205,380.54x = 34,089,477,247.41
  5. Step 5: Solve for x
    x = 34,089,477,247.41/205,380.54
  6. Step 6: Final answer
    x = 165,982.02

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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.