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Finding the Fourth Proportional to 242,240, 363,372.96 and 76,040.96

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Solution

The fourth proportional to 242,240, 363,372.96 and 76,040.96 is: 114,065.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,240 : 363,372.96 = 76,040.96 : x
  2. Step 2: Convert to fraction form
    242,240/363,372.96 = 76,040.96/x
  3. Step 3: Cross multiply
    242,240x = 363,372.96 × 76,040.96
  4. Step 4: Simplify right side
    242,240x = 27,631,228,716.44
  5. Step 5: Solve for x
    x = 27,631,228,716.44/242,240
  6. Step 6: Final answer
    x = 114,065.51

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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.