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Finding the Fourth Proportional to 105,622, 158,435.04 and 39,027.76

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Solution

The fourth proportional to 105,622, 158,435.04 and 39,027.76 is: 58,542.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,622 : 158,435.04 = 39,027.76 : x
  2. Step 2: Convert to fraction form
    105,622/158,435.04 = 39,027.76/x
  3. Step 3: Cross multiply
    105,622x = 158,435.04 × 39,027.76
  4. Step 4: Simplify right side
    105,622x = 6,183,364,716.71
  5. Step 5: Solve for x
    x = 6,183,364,716.71/105,622
  6. Step 6: Final answer
    x = 58,542.39

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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.