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Finding the Fourth Proportional to 139,242.40, 208,843.92 and 45,736

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Solution

The fourth proportional to 139,242.40, 208,843.92 and 45,736 is: 68,597.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,242.40 : 208,843.92 = 45,736 : x
  2. Step 2: Convert to fraction form
    139,242.40/208,843.92 = 45,736/x
  3. Step 3: Cross multiply
    139,242.40x = 208,843.92 × 45,736
  4. Step 4: Simplify right side
    139,242.40x = 9,551,685,525.12
  5. Step 5: Solve for x
    x = 9,551,685,525.12/139,242.40
  6. Step 6: Final answer
    x = 68,597.54

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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.