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Finding the Fourth Proportional to 215,116.58, 322,667.58 and 81,992

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Solution

The fourth proportional to 215,116.58, 322,667.58 and 81,992 is: 122,985.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,116.58 : 322,667.58 = 81,992 : x
  2. Step 2: Convert to fraction form
    215,116.58/322,667.58 = 81,992/x
  3. Step 3: Cross multiply
    215,116.58x = 322,667.58 × 81,992
  4. Step 4: Simplify right side
    215,116.58x = 26,456,160,219.36
  5. Step 5: Solve for x
    x = 26,456,160,219.36/215,116.58
  6. Step 6: Final answer
    x = 122,985.22

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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.