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Finding the Fourth Proportional to 57,133.38, 78,994.58 and 50,039.49

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Solution

The fourth proportional to 57,133.38, 78,994.58 and 50,039.49 is: 69,186.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,133.38 : 78,994.58 = 50,039.49 : x
  2. Step 2: Convert to fraction form
    57,133.38/78,994.58 = 50,039.49/x
  3. Step 3: Cross multiply
    57,133.38x = 78,994.58 × 50,039.49
  4. Step 4: Simplify right side
    57,133.38x = 3,952,848,245.77
  5. Step 5: Solve for x
    x = 3,952,848,245.77/57,133.38
  6. Step 6: Final answer
    x = 69,186.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.