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Finding the Fourth Proportional to 105,978, 158,759.22 and 61,511.52

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Solution

The fourth proportional to 105,978, 158,759.22 and 61,511.52 is: 92,146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,978 : 158,759.22 = 61,511.52 : x
  2. Step 2: Convert to fraction form
    105,978/158,759.22 = 61,511.52/x
  3. Step 3: Cross multiply
    105,978x = 158,759.22 × 61,511.52
  4. Step 4: Simplify right side
    105,978x = 9,765,520,936.21
  5. Step 5: Solve for x
    x = 9,765,520,936.21/105,978
  6. Step 6: Final answer
    x = 92,146.68

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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.