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Finding the Fourth Proportional to 180,249.89, 248,749.07 and 99,678.96

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Solution

The fourth proportional to 180,249.89, 248,749.07 and 99,678.96 is: 137,559.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,249.89 : 248,749.07 = 99,678.96 : x
  2. Step 2: Convert to fraction form
    180,249.89/248,749.07 = 99,678.96/x
  3. Step 3: Cross multiply
    180,249.89x = 248,749.07 × 99,678.96
  4. Step 4: Simplify right side
    180,249.89x = 24,795,048,100.17
  5. Step 5: Solve for x
    x = 24,795,048,100.17/180,249.89
  6. Step 6: Final answer
    x = 137,559.30

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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.