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Finding the Fourth Proportional to 215,726, 297,712.02 and 120,233.39

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Solution

The fourth proportional to 215,726, 297,712.02 and 120,233.39 is: 165,927.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,726 : 297,712.02 = 120,233.39 : x
  2. Step 2: Convert to fraction form
    215,726/297,712.02 = 120,233.39/x
  3. Step 3: Cross multiply
    215,726x = 297,712.02 × 120,233.39
  4. Step 4: Simplify right side
    215,726x = 35,794,925,408.35
  5. Step 5: Solve for x
    x = 35,794,925,408.35/215,726
  6. Step 6: Final answer
    x = 165,927.73

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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.