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Finding the Fourth Proportional to 230,185.86, 345,256.92 and 80,398.50

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Solution

The fourth proportional to 230,185.86, 345,256.92 and 80,398.50 is: 120,590.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,185.86 : 345,256.92 = 80,398.50 : x
  2. Step 2: Convert to fraction form
    230,185.86/345,256.92 = 80,398.50/x
  3. Step 3: Cross multiply
    230,185.86x = 345,256.92 × 80,398.50
  4. Step 4: Simplify right side
    230,185.86x = 27,758,138,482.62
  5. Step 5: Solve for x
    x = 27,758,138,482.62/230,185.86
  6. Step 6: Final answer
    x = 120,590.11

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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.