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Finding the Fourth Proportional to 215,093.58, 322,633.08 and 81,969

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Solution

The fourth proportional to 215,093.58, 322,633.08 and 81,969 is: 122,950.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,093.58 : 322,633.08 = 81,969 : x
  2. Step 2: Convert to fraction form
    215,093.58/322,633.08 = 81,969/x
  3. Step 3: Cross multiply
    215,093.58x = 322,633.08 × 81,969
  4. Step 4: Simplify right side
    215,093.58x = 26,445,910,934.52
  5. Step 5: Solve for x
    x = 26,445,910,934.52/215,093.58
  6. Step 6: Final answer
    x = 122,950.72

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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.