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Finding the Fourth Proportional to 205,182.80, 307,255.80 and 134,680.40

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Solution

The fourth proportional to 205,182.80, 307,255.80 and 134,680.40 is: 201,680.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,182.80 : 307,255.80 = 134,680.40 : x
  2. Step 2: Convert to fraction form
    205,182.80/307,255.80 = 134,680.40/x
  3. Step 3: Cross multiply
    205,182.80x = 307,255.80 × 134,680.40
  4. Step 4: Simplify right side
    205,182.80x = 41,381,334,046.32
  5. Step 5: Solve for x
    x = 41,381,334,046.32/205,182.80
  6. Step 6: Final answer
    x = 201,680.33

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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.