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Finding the Fourth Proportional to 135,502.37, 186,977.85 and 75,057.94

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Solution

The fourth proportional to 135,502.37, 186,977.85 and 75,057.94 is: 103,571.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,502.37 : 186,977.85 = 75,057.94 : x
  2. Step 2: Convert to fraction form
    135,502.37/186,977.85 = 75,057.94/x
  3. Step 3: Cross multiply
    135,502.37x = 186,977.85 × 75,057.94
  4. Step 4: Simplify right side
    135,502.37x = 14,034,171,311.74
  5. Step 5: Solve for x
    x = 14,034,171,311.74/135,502.37
  6. Step 6: Final answer
    x = 103,571.41

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