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Finding the Fourth Proportional to 242,212.75, 363,081.96 and 90,298.67

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Solution

The fourth proportional to 242,212.75, 363,081.96 and 90,298.67 is: 135,359.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,212.75 : 363,081.96 = 90,298.67 : x
  2. Step 2: Convert to fraction form
    242,212.75/363,081.96 = 90,298.67/x
  3. Step 3: Cross multiply
    242,212.75x = 363,081.96 × 90,298.67
  4. Step 4: Simplify right side
    242,212.75x = 32,785,816,273.58
  5. Step 5: Solve for x
    x = 32,785,816,273.58/242,212.75
  6. Step 6: Final answer
    x = 135,359.58

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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.