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Finding the Fourth Proportional to 105,876, 158,809.44 and 26,987.87

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Solution

The fourth proportional to 105,876, 158,809.44 and 26,987.87 is: 40,480.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,876 : 158,809.44 = 26,987.87 : x
  2. Step 2: Convert to fraction form
    105,876/158,809.44 = 26,987.87/x
  3. Step 3: Cross multiply
    105,876x = 158,809.44 × 26,987.87
  4. Step 4: Simplify right side
    105,876x = 4,285,929,019.72
  5. Step 5: Solve for x
    x = 4,285,929,019.72/105,876
  6. Step 6: Final answer
    x = 40,480.65

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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.