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Finding the Fourth Proportional to 230,408.31, 345,768 and 80,649.84

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Solution

The fourth proportional to 230,408.31, 345,768 and 80,649.84 is: 121,029.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,408.31 : 345,768 = 80,649.84 : x
  2. Step 2: Convert to fraction form
    230,408.31/345,768 = 80,649.84/x
  3. Step 3: Cross multiply
    230,408.31x = 345,768 × 80,649.84
  4. Step 4: Simplify right side
    230,408.31x = 27,886,133,877.12
  5. Step 5: Solve for x
    x = 27,886,133,877.12/230,408.31
  6. Step 6: Final answer
    x = 121,029.20

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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.