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Finding the Fourth Proportional to 90,148.82, 135,230.52 and 30,984.54

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Solution

The fourth proportional to 90,148.82, 135,230.52 and 30,984.54 is: 46,479.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,148.82 : 135,230.52 = 30,984.54 : x
  2. Step 2: Convert to fraction form
    90,148.82/135,230.52 = 30,984.54/x
  3. Step 3: Cross multiply
    90,148.82x = 135,230.52 × 30,984.54
  4. Step 4: Simplify right side
    90,148.82x = 4,190,055,456.16
  5. Step 5: Solve for x
    x = 4,190,055,456.16/90,148.82
  6. Step 6: Final answer
    x = 46,479.32

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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.