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Finding the Fourth Proportional to 136,915.94, 188,865.14 and 82,430.22

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Solution

The fourth proportional to 136,915.94, 188,865.14 and 82,430.22 is: 113,706.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,915.94 : 188,865.14 = 82,430.22 : x
  2. Step 2: Convert to fraction form
    136,915.94/188,865.14 = 82,430.22/x
  3. Step 3: Cross multiply
    136,915.94x = 188,865.14 × 82,430.22
  4. Step 4: Simplify right side
    136,915.94x = 15,568,195,040.53
  5. Step 5: Solve for x
    x = 15,568,195,040.53/136,915.94
  6. Step 6: Final answer
    x = 113,706.23

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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.