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Finding the Fourth Proportional to 103,679.16, 155,506.38 and 36,199.45

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Solution

The fourth proportional to 103,679.16, 155,506.38 and 36,199.45 is: 54,294.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,679.16 : 155,506.38 = 36,199.45 : x
  2. Step 2: Convert to fraction form
    103,679.16/155,506.38 = 36,199.45/x
  3. Step 3: Cross multiply
    103,679.16x = 155,506.38 × 36,199.45
  4. Step 4: Simplify right side
    103,679.16x = 5,629,245,427.49
  5. Step 5: Solve for x
    x = 5,629,245,427.49/103,679.16
  6. Step 6: Final answer
    x = 54,294.86

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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.