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Finding the Fourth Proportional to 90,151.60, 135,230.46 and 30,986.86

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Solution

The fourth proportional to 90,151.60, 135,230.46 and 30,986.86 is: 46,481.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,151.60 : 135,230.46 = 30,986.86 : x
  2. Step 2: Convert to fraction form
    90,151.60/135,230.46 = 30,986.86/x
  3. Step 3: Cross multiply
    90,151.60x = 135,230.46 × 30,986.86
  4. Step 4: Simplify right side
    90,151.60x = 4,190,367,331.76
  5. Step 5: Solve for x
    x = 4,190,367,331.76/90,151.60
  6. Step 6: Final answer
    x = 46,481.34

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1.5x scale

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.