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Finding the Fourth Proportional to 114,020.94, 171,028.53 and 30,912.78

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Solution

The fourth proportional to 114,020.94, 171,028.53 and 30,912.78 is: 46,368.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,020.94 : 171,028.53 = 30,912.78 : x
  2. Step 2: Convert to fraction form
    114,020.94/171,028.53 = 30,912.78/x
  3. Step 3: Cross multiply
    114,020.94x = 171,028.53 × 30,912.78
  4. Step 4: Simplify right side
    114,020.94x = 5,286,967,321.61
  5. Step 5: Solve for x
    x = 5,286,967,321.61/114,020.94
  6. Step 6: Final answer
    x = 46,368.39

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1.5x scale

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.