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Finding the Fourth Proportional to 205,268.80, 307,384.80 and 134,766.40

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Solution

The fourth proportional to 205,268.80, 307,384.80 and 134,766.40 is: 201,809.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,268.80 : 307,384.80 = 134,766.40 : x
  2. Step 2: Convert to fraction form
    205,268.80/307,384.80 = 134,766.40/x
  3. Step 3: Cross multiply
    205,268.80x = 307,384.80 × 134,766.40
  4. Step 4: Simplify right side
    205,268.80x = 41,425,142,910.72
  5. Step 5: Solve for x
    x = 41,425,142,910.72/205,268.80
  6. Step 6: Final answer
    x = 201,809.25

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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.