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Finding the Fourth Proportional to 139,148.16, 208,724.16 and 33,969.60

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Solution

The fourth proportional to 139,148.16, 208,724.16 and 33,969.60 is: 50,954.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,148.16 : 208,724.16 = 33,969.60 : x
  2. Step 2: Convert to fraction form
    139,148.16/208,724.16 = 33,969.60/x
  3. Step 3: Cross multiply
    139,148.16x = 208,724.16 × 33,969.60
  4. Step 4: Simplify right side
    139,148.16x = 7,090,276,225.54
  5. Step 5: Solve for x
    x = 7,090,276,225.54/139,148.16
  6. Step 6: Final answer
    x = 50,954.87

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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.