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Finding the Fourth Proportional to 205,309.80, 307,964.70 and 135,268.20

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Solution

The fourth proportional to 205,309.80, 307,964.70 and 135,268.20 is: 202,902.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,309.80 : 307,964.70 = 135,268.20 : x
  2. Step 2: Convert to fraction form
    205,309.80/307,964.70 = 135,268.20/x
  3. Step 3: Cross multiply
    205,309.80x = 307,964.70 × 135,268.20
  4. Step 4: Simplify right side
    205,309.80x = 41,657,830,632.54
  5. Step 5: Solve for x
    x = 41,657,830,632.54/205,309.80
  6. Step 6: Final answer
    x = 202,902.30

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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.