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Finding the Fourth Proportional to 230,205, 345,464.10 and 82,461

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Solution

The fourth proportional to 230,205, 345,464.10 and 82,461 is: 123,747.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,205 : 345,464.10 = 82,461 : x
  2. Step 2: Convert to fraction form
    230,205/345,464.10 = 82,461/x
  3. Step 3: Cross multiply
    230,205x = 345,464.10 × 82,461
  4. Step 4: Simplify right side
    230,205x = 28,487,315,150.10
  5. Step 5: Solve for x
    x = 28,487,315,150.10/230,205
  6. Step 6: Final answer
    x = 123,747.60

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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.