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Finding the Fourth Proportional to 230,054.06, 345,081.13 and 105,395.06

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Solution

The fourth proportional to 230,054.06, 345,081.13 and 105,395.06 is: 158,092.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,054.06 : 345,081.13 = 105,395.06 : x
  2. Step 2: Convert to fraction form
    230,054.06/345,081.13 = 105,395.06/x
  3. Step 3: Cross multiply
    230,054.06x = 345,081.13 × 105,395.06
  4. Step 4: Simplify right side
    230,054.06x = 36,369,847,000.43
  5. Step 5: Solve for x
    x = 36,369,847,000.43/230,054.06
  6. Step 6: Final answer
    x = 158,092.61

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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.