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Finding the Fourth Proportional to 149,716, 206,608.08 and 82,648.48

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Solution

The fourth proportional to 149,716, 206,608.08 and 82,648.48 is: 114,054.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,716 : 206,608.08 = 82,648.48 : x
  2. Step 2: Convert to fraction form
    149,716/206,608.08 = 82,648.48/x
  3. Step 3: Cross multiply
    149,716x = 206,608.08 × 82,648.48
  4. Step 4: Simplify right side
    149,716x = 17,075,843,767.72
  5. Step 5: Solve for x
    x = 17,075,843,767.72/149,716
  6. Step 6: Final answer
    x = 114,054.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.