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Finding the Fourth Proportional to 103,977.86, 155,987.85 and 33,838.34

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Solution

The fourth proportional to 103,977.86, 155,987.85 and 33,838.34 is: 50,764.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,977.86 : 155,987.85 = 33,838.34 : x
  2. Step 2: Convert to fraction form
    103,977.86/155,987.85 = 33,838.34/x
  3. Step 3: Cross multiply
    103,977.86x = 155,987.85 × 33,838.34
  4. Step 4: Simplify right side
    103,977.86x = 5,278,369,904.17
  5. Step 5: Solve for x
    x = 5,278,369,904.17/103,977.86
  6. Step 6: Final answer
    x = 50,764.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.