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Finding the Fourth Proportional to 82,165.95, 123,247.44 and 23,000.72

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Solution

The fourth proportional to 82,165.95, 123,247.44 and 23,000.72 is: 34,500.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,165.95 : 123,247.44 = 23,000.72 : x
  2. Step 2: Convert to fraction form
    82,165.95/123,247.44 = 23,000.72/x
  3. Step 3: Cross multiply
    82,165.95x = 123,247.44 × 23,000.72
  4. Step 4: Simplify right side
    82,165.95x = 2,834,779,241.92
  5. Step 5: Solve for x
    x = 2,834,779,241.92/82,165.95
  6. Step 6: Final answer
    x = 34,500.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.