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Finding the Fourth Proportional to 90,458.82, 135,662.31 and 30,480.75

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Solution

The fourth proportional to 90,458.82, 135,662.31 and 30,480.75 is: 45,712.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,458.82 : 135,662.31 = 30,480.75 : x
  2. Step 2: Convert to fraction form
    90,458.82/135,662.31 = 30,480.75/x
  3. Step 3: Cross multiply
    90,458.82x = 135,662.31 × 30,480.75
  4. Step 4: Simplify right side
    90,458.82x = 4,135,088,955.53
  5. Step 5: Solve for x
    x = 4,135,088,955.53/90,458.82
  6. Step 6: Final answer
    x = 45,712.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.