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Finding the Fourth Proportional to 135,189.54, 186,562.80 and 74,764.32

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Solution

The fourth proportional to 135,189.54, 186,562.80 and 74,764.32 is: 103,175.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,189.54 : 186,562.80 = 74,764.32 : x
  2. Step 2: Convert to fraction form
    135,189.54/186,562.80 = 74,764.32/x
  3. Step 3: Cross multiply
    135,189.54x = 186,562.80 × 74,764.32
  4. Step 4: Simplify right side
    135,189.54x = 13,948,240,879.30
  5. Step 5: Solve for x
    x = 13,948,240,879.30/135,189.54
  6. Step 6: Final answer
    x = 103,175.44

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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.