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Finding the Fourth Proportional to 78,056.10, 117,130.84 and 33,682.84

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Solution

The fourth proportional to 78,056.10, 117,130.84 and 33,682.84 is: 50,544.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,056.10 : 117,130.84 = 33,682.84 : x
  2. Step 2: Convert to fraction form
    78,056.10/117,130.84 = 33,682.84/x
  3. Step 3: Cross multiply
    78,056.10x = 117,130.84 × 33,682.84
  4. Step 4: Simplify right side
    78,056.10x = 3,945,299,342.79
  5. Step 5: Solve for x
    x = 3,945,299,342.79/78,056.10
  6. Step 6: Final answer
    x = 50,544.41

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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.