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Finding the Fourth Proportional to 215,029.74, 322,506.88 and 81,917.98

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Solution

The fourth proportional to 215,029.74, 322,506.88 and 81,917.98 is: 122,862.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,029.74 : 322,506.88 = 81,917.98 : x
  2. Step 2: Convert to fraction form
    215,029.74/322,506.88 = 81,917.98/x
  3. Step 3: Cross multiply
    215,029.74x = 322,506.88 × 81,917.98
  4. Step 4: Simplify right side
    215,029.74x = 26,419,112,145.70
  5. Step 5: Solve for x
    x = 26,419,112,145.70/215,029.74
  6. Step 6: Final answer
    x = 122,862.60

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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.