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Finding the Fourth Proportional to 139,388.65, 209,090.94 and 39,541

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Solution

The fourth proportional to 139,388.65, 209,090.94 and 39,541 is: 59,313.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,388.65 : 209,090.94 = 39,541 : x
  2. Step 2: Convert to fraction form
    139,388.65/209,090.94 = 39,541/x
  3. Step 3: Cross multiply
    139,388.65x = 209,090.94 × 39,541
  4. Step 4: Simplify right side
    139,388.65x = 8,267,664,858.54
  5. Step 5: Solve for x
    x = 8,267,664,858.54/139,388.65
  6. Step 6: Final answer
    x = 59,313.76

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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.