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Finding the Fourth Proportional to 100,227, 138,313.53 and 55,515

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Solution

The fourth proportional to 100,227, 138,313.53 and 55,515 is: 76,610.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,227 : 138,313.53 = 55,515 : x
  2. Step 2: Convert to fraction form
    100,227/138,313.53 = 55,515/x
  3. Step 3: Cross multiply
    100,227x = 138,313.53 × 55,515
  4. Step 4: Simplify right side
    100,227x = 7,678,475,617.95
  5. Step 5: Solve for x
    x = 7,678,475,617.95/100,227
  6. Step 6: Final answer
    x = 76,610.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.