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Finding the Fourth Proportional to 103,977.64, 155,980.36 and 36,493.64

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Solution

The fourth proportional to 103,977.64, 155,980.36 and 36,493.64 is: 54,745.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,977.64 : 155,980.36 = 36,493.64 : x
  2. Step 2: Convert to fraction form
    103,977.64/155,980.36 = 36,493.64/x
  3. Step 3: Cross multiply
    103,977.64x = 155,980.36 × 36,493.64
  4. Step 4: Simplify right side
    103,977.64x = 5,692,291,104.91
  5. Step 5: Solve for x
    x = 5,692,291,104.91/103,977.64
  6. Step 6: Final answer
    x = 54,745.34

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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.