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Finding the Fourth Proportional to 49,770.93, 68,678.89 and 30,647.64

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Solution

The fourth proportional to 49,770.93, 68,678.89 and 30,647.64 is: 42,290.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,770.93 : 68,678.89 = 30,647.64 : x
  2. Step 2: Convert to fraction form
    49,770.93/68,678.89 = 30,647.64/x
  3. Step 3: Cross multiply
    49,770.93x = 68,678.89 × 30,647.64
  4. Step 4: Simplify right side
    49,770.93x = 2,104,845,896.32
  5. Step 5: Solve for x
    x = 2,104,845,896.32/49,770.93
  6. Step 6: Final answer
    x = 42,290.67

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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.