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Finding the Fourth Proportional to 135,464.92, 186,939.61 and 75,035.37

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Solution

The fourth proportional to 135,464.92, 186,939.61 and 75,035.37 is: 103,547.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,464.92 : 186,939.61 = 75,035.37 : x
  2. Step 2: Convert to fraction form
    135,464.92/186,939.61 = 75,035.37/x
  3. Step 3: Cross multiply
    135,464.92x = 186,939.61 × 75,035.37
  4. Step 4: Simplify right side
    135,464.92x = 14,027,082,804.01
  5. Step 5: Solve for x
    x = 14,027,082,804.01/135,464.92
  6. Step 6: Final answer
    x = 103,547.71

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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.