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Finding the Fourth Proportional to 149,209.44, 205,907.76 and 82,140

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Solution

The fourth proportional to 149,209.44, 205,907.76 and 82,140 is: 113,352.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,209.44 : 205,907.76 = 82,140 : x
  2. Step 2: Convert to fraction form
    149,209.44/205,907.76 = 82,140/x
  3. Step 3: Cross multiply
    149,209.44x = 205,907.76 × 82,140
  4. Step 4: Simplify right side
    149,209.44x = 16,913,263,406.40
  5. Step 5: Solve for x
    x = 16,913,263,406.40/149,209.44
  6. Step 6: Final answer
    x = 113,352.50

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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.