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Finding the Fourth Proportional to 230,319.36, 345,360.96 and 105,552

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Solution

The fourth proportional to 230,319.36, 345,360.96 and 105,552 is: 158,273.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,319.36 : 345,360.96 = 105,552 : x
  2. Step 2: Convert to fraction form
    230,319.36/345,360.96 = 105,552/x
  3. Step 3: Cross multiply
    230,319.36x = 345,360.96 × 105,552
  4. Step 4: Simplify right side
    230,319.36x = 36,453,540,049.92
  5. Step 5: Solve for x
    x = 36,453,540,049.92/230,319.36
  6. Step 6: Final answer
    x = 158,273.89

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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.