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Finding the Fourth Proportional to 90,023.58, 135,054.81 and 45,674.46

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Solution

The fourth proportional to 90,023.58, 135,054.81 and 45,674.46 is: 68,521.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,023.58 : 135,054.81 = 45,674.46 : x
  2. Step 2: Convert to fraction form
    90,023.58/135,054.81 = 45,674.46/x
  3. Step 3: Cross multiply
    90,023.58x = 135,054.81 × 45,674.46
  4. Step 4: Simplify right side
    90,023.58x = 6,168,555,517.15
  5. Step 5: Solve for x
    x = 6,168,555,517.15/90,023.58
  6. Step 6: Final answer
    x = 68,521.55

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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.