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Finding the Fourth Proportional to 149,143.97, 205,818.71 and 82,075.97

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Solution

The fourth proportional to 149,143.97, 205,818.71 and 82,075.97 is: 113,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,143.97 : 205,818.71 = 82,075.97 : x
  2. Step 2: Convert to fraction form
    149,143.97/205,818.71 = 82,075.97/x
  3. Step 3: Cross multiply
    149,143.97x = 205,818.71 × 82,075.97
  4. Step 4: Simplify right side
    149,143.97x = 16,892,770,987.14
  5. Step 5: Solve for x
    x = 16,892,770,987.14/149,143.97
  6. Step 6: Final answer
    x = 113,264.86

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1.5x scale

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.