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Finding the Fourth Proportional to 103,885.20, 155,729.16 and 33,715.44

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Solution

The fourth proportional to 103,885.20, 155,729.16 and 33,715.44 is: 50,541.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,885.20 : 155,729.16 = 33,715.44 : x
  2. Step 2: Convert to fraction form
    103,885.20/155,729.16 = 33,715.44/x
  3. Step 3: Cross multiply
    103,885.20x = 155,729.16 × 33,715.44
  4. Step 4: Simplify right side
    103,885.20x = 5,250,477,150.23
  5. Step 5: Solve for x
    x = 5,250,477,150.23/103,885.20
  6. Step 6: Final answer
    x = 50,541.15

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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.