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Finding the Fourth Proportional to 230,321.34, 345,582.41 and 80,668.98

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Solution

The fourth proportional to 230,321.34, 345,582.41 and 80,668.98 is: 121,038.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,321.34 : 345,582.41 = 80,668.98 : x
  2. Step 2: Convert to fraction form
    230,321.34/345,582.41 = 80,668.98/x
  3. Step 3: Cross multiply
    230,321.34x = 345,582.41 × 80,668.98
  4. Step 4: Simplify right side
    230,321.34x = 27,877,780,117.30
  5. Step 5: Solve for x
    x = 27,877,780,117.30/230,321.34
  6. Step 6: Final answer
    x = 121,038.63

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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.