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Finding the Fourth Proportional to 135,200.57, 186,582.60 and 74,771.22

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Solution

The fourth proportional to 135,200.57, 186,582.60 and 74,771.22 is: 103,187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,200.57 : 186,582.60 = 74,771.22 : x
  2. Step 2: Convert to fraction form
    135,200.57/186,582.60 = 74,771.22/x
  3. Step 3: Cross multiply
    135,200.57x = 186,582.60 × 74,771.22
  4. Step 4: Simplify right side
    135,200.57x = 13,951,008,632.77
  5. Step 5: Solve for x
    x = 13,951,008,632.77/135,200.57
  6. Step 6: Final answer
    x = 103,187.50

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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.