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Finding the Fourth Proportional to 215,114.58, 322,664.58 and 81,990

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Solution

The fourth proportional to 215,114.58, 322,664.58 and 81,990 is: 122,982.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,114.58 : 322,664.58 = 81,990 : x
  2. Step 2: Convert to fraction form
    215,114.58/322,664.58 = 81,990/x
  3. Step 3: Cross multiply
    215,114.58x = 322,664.58 × 81,990
  4. Step 4: Simplify right side
    215,114.58x = 26,455,268,914.20
  5. Step 5: Solve for x
    x = 26,455,268,914.20/215,114.58
  6. Step 6: Final answer
    x = 122,982.22

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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.