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Finding the Fourth Proportional to 193,235.80, 289,623.30 and 80,915.80

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Solution

The fourth proportional to 193,235.80, 289,623.30 and 80,915.80 is: 121,277.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,235.80 : 289,623.30 = 80,915.80 : x
  2. Step 2: Convert to fraction form
    193,235.80/289,623.30 = 80,915.80/x
  3. Step 3: Cross multiply
    193,235.80x = 289,623.30 × 80,915.80
  4. Step 4: Simplify right side
    193,235.80x = 23,435,101,018.14
  5. Step 5: Solve for x
    x = 23,435,101,018.14/193,235.80
  6. Step 6: Final answer
    x = 121,277.22

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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.