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Finding the Fourth Proportional to 242,163.78, 363,245.96 and 115,774.30

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Solution

The fourth proportional to 242,163.78, 363,245.96 and 115,774.30 is: 173,661.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,163.78 : 363,245.96 = 115,774.30 : x
  2. Step 2: Convert to fraction form
    242,163.78/363,245.96 = 115,774.30/x
  3. Step 3: Cross multiply
    242,163.78x = 363,245.96 × 115,774.30
  4. Step 4: Simplify right side
    242,163.78x = 42,054,546,746.83
  5. Step 5: Solve for x
    x = 42,054,546,746.83/242,163.78
  6. Step 6: Final answer
    x = 173,661.59

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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.