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Finding the Fourth Proportional to 82,378.92, 123,573.30 and 23,219.64

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Solution

The fourth proportional to 82,378.92, 123,573.30 and 23,219.64 is: 34,830.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,378.92 : 123,573.30 = 23,219.64 : x
  2. Step 2: Convert to fraction form
    82,378.92/123,573.30 = 23,219.64/x
  3. Step 3: Cross multiply
    82,378.92x = 123,573.30 × 23,219.64
  4. Step 4: Simplify right side
    82,378.92x = 2,869,327,539.61
  5. Step 5: Solve for x
    x = 2,869,327,539.61/82,378.92
  6. Step 6: Final answer
    x = 34,830.85

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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.