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Finding the Fourth Proportional to 208,992.44, 288,409.50 and 113,499.16

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Solution

The fourth proportional to 208,992.44, 288,409.50 and 113,499.16 is: 156,628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,992.44 : 288,409.50 = 113,499.16 : x
  2. Step 2: Convert to fraction form
    208,992.44/288,409.50 = 113,499.16/x
  3. Step 3: Cross multiply
    208,992.44x = 288,409.50 × 113,499.16
  4. Step 4: Simplify right side
    208,992.44x = 32,734,235,986.02
  5. Step 5: Solve for x
    x = 32,734,235,986.02/208,992.44
  6. Step 6: Final answer
    x = 156,628.80

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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.