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Finding the Fourth Proportional to 230,691.78, 346,035.60 and 72,920.34

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Solution

The fourth proportional to 230,691.78, 346,035.60 and 72,920.34 is: 109,379.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,691.78 : 346,035.60 = 72,920.34 : x
  2. Step 2: Convert to fraction form
    230,691.78/346,035.60 = 72,920.34/x
  3. Step 3: Cross multiply
    230,691.78x = 346,035.60 × 72,920.34
  4. Step 4: Simplify right side
    230,691.78x = 25,233,033,604.10
  5. Step 5: Solve for x
    x = 25,233,033,604.10/230,691.78
  6. Step 6: Final answer
    x = 109,379.86

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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.