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Finding the Fourth Proportional to 105,879.54, 158,817.26 and 42,698.32

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Solution

The fourth proportional to 105,879.54, 158,817.26 and 42,698.32 is: 64,046.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,879.54 : 158,817.26 = 42,698.32 : x
  2. Step 2: Convert to fraction form
    105,879.54/158,817.26 = 42,698.32/x
  3. Step 3: Cross multiply
    105,879.54x = 158,817.26 × 42,698.32
  4. Step 4: Simplify right side
    105,879.54x = 6,781,230,189.00
  5. Step 5: Solve for x
    x = 6,781,230,189.00/105,879.54
  6. Step 6: Final answer
    x = 64,046.65

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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.