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Finding the Fourth Proportional to 136,915.40, 204,873.53 and 80,782.40

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Solution

The fourth proportional to 136,915.40, 204,873.53 and 80,782.40 is: 120,878.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,915.40 : 204,873.53 = 80,782.40 : x
  2. Step 2: Convert to fraction form
    136,915.40/204,873.53 = 80,782.40/x
  3. Step 3: Cross multiply
    136,915.40x = 204,873.53 × 80,782.40
  4. Step 4: Simplify right side
    136,915.40x = 16,550,174,735.73
  5. Step 5: Solve for x
    x = 16,550,174,735.73/136,915.40
  6. Step 6: Final answer
    x = 120,878.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.