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Finding the Fourth Proportional to 103,873.44, 143,346 and 78,679.20

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Solution

The fourth proportional to 103,873.44, 143,346 and 78,679.20 is: 108,577.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,873.44 : 143,346 = 78,679.20 : x
  2. Step 2: Convert to fraction form
    103,873.44/143,346 = 78,679.20/x
  3. Step 3: Cross multiply
    103,873.44x = 143,346 × 78,679.20
  4. Step 4: Simplify right side
    103,873.44x = 11,278,348,603.20
  5. Step 5: Solve for x
    x = 11,278,348,603.20/103,873.44
  6. Step 6: Final answer
    x = 108,577.79

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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.