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Finding the Fourth Proportional to 139,991, 209,986.50 and 41,495

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Solution

The fourth proportional to 139,991, 209,986.50 and 41,495 is: 62,242.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,991 : 209,986.50 = 41,495 : x
  2. Step 2: Convert to fraction form
    139,991/209,986.50 = 41,495/x
  3. Step 3: Cross multiply
    139,991x = 209,986.50 × 41,495
  4. Step 4: Simplify right side
    139,991x = 8,713,389,817.50
  5. Step 5: Solve for x
    x = 8,713,389,817.50/139,991
  6. Step 6: Final answer
    x = 62,242.50

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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.