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Finding the Fourth Proportional to 206,197.84, 309,075.63 and 135,093.61

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Solution

The fourth proportional to 206,197.84, 309,075.63 and 135,093.61 is: 202,495.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,197.84 : 309,075.63 = 135,093.61 : x
  2. Step 2: Convert to fraction form
    206,197.84/309,075.63 = 135,093.61/x
  3. Step 3: Cross multiply
    206,197.84x = 309,075.63 × 135,093.61
  4. Step 4: Simplify right side
    206,197.84x = 41,754,142,619.72
  5. Step 5: Solve for x
    x = 41,754,142,619.72/206,197.84
  6. Step 6: Final answer
    x = 202,495.54

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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.