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Finding the Fourth Proportional to 49,424.40, 68,135.40 and 30,550.80

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Solution

The fourth proportional to 49,424.40, 68,135.40 and 30,550.80 is: 42,116.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,424.40 : 68,135.40 = 30,550.80 : x
  2. Step 2: Convert to fraction form
    49,424.40/68,135.40 = 30,550.80/x
  3. Step 3: Cross multiply
    49,424.40x = 68,135.40 × 30,550.80
  4. Step 4: Simplify right side
    49,424.40x = 2,081,590,978.32
  5. Step 5: Solve for x
    x = 2,081,590,978.32/49,424.40
  6. Step 6: Final answer
    x = 42,116.67

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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.