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Finding the Fourth Proportional to 149,142.07, 205,816.08 and 82,074.07

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Solution

The fourth proportional to 149,142.07, 205,816.08 and 82,074.07 is: 113,262.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,142.07 : 205,816.08 = 82,074.07 : x
  2. Step 2: Convert to fraction form
    149,142.07/205,816.08 = 82,074.07/x
  3. Step 3: Cross multiply
    149,142.07x = 205,816.08 × 82,074.07
  4. Step 4: Simplify right side
    149,142.07x = 16,892,163,357.05
  5. Step 5: Solve for x
    x = 16,892,163,357.05/149,142.07
  6. Step 6: Final answer
    x = 113,262.23

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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.