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Finding the Fourth Proportional to 114,142.40, 157,189.92 and 82,260.80

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Solution

The fourth proportional to 114,142.40, 157,189.92 and 82,260.80 is: 113,284.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,142.40 : 157,189.92 = 82,260.80 : x
  2. Step 2: Convert to fraction form
    114,142.40/157,189.92 = 82,260.80/x
  3. Step 3: Cross multiply
    114,142.40x = 157,189.92 × 82,260.80
  4. Step 4: Simplify right side
    114,142.40x = 12,930,568,571.14
  5. Step 5: Solve for x
    x = 12,930,568,571.14/114,142.40
  6. Step 6: Final answer
    x = 113,284.53

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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.