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Finding the Fourth Proportional to 205,692.60, 308,538.90 and 65,465.40

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Solution

The fourth proportional to 205,692.60, 308,538.90 and 65,465.40 is: 98,198.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,692.60 : 308,538.90 = 65,465.40 : x
  2. Step 2: Convert to fraction form
    205,692.60/308,538.90 = 65,465.40/x
  3. Step 3: Cross multiply
    205,692.60x = 308,538.90 × 65,465.40
  4. Step 4: Simplify right side
    205,692.60x = 20,198,622,504.06
  5. Step 5: Solve for x
    x = 20,198,622,504.06/205,692.60
  6. Step 6: Final answer
    x = 98,198.10

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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.