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Finding the Fourth Proportional to 103,882.64, 155,768.48 and 53,912.40

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Solution

The fourth proportional to 103,882.64, 155,768.48 and 53,912.40 is: 80,839.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,882.64 : 155,768.48 = 53,912.40 : x
  2. Step 2: Convert to fraction form
    103,882.64/155,768.48 = 53,912.40/x
  3. Step 3: Cross multiply
    103,882.64x = 155,768.48 × 53,912.40
  4. Step 4: Simplify right side
    103,882.64x = 8,397,852,601.15
  5. Step 5: Solve for x
    x = 8,397,852,601.15/103,882.64
  6. Step 6: Final answer
    x = 80,839.81

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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.