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Finding the Fourth Proportional to 82,017.10, 123,025.65 and 71,649.10

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Solution

The fourth proportional to 82,017.10, 123,025.65 and 71,649.10 is: 107,473.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,017.10 : 123,025.65 = 71,649.10 : x
  2. Step 2: Convert to fraction form
    82,017.10/123,025.65 = 71,649.10/x
  3. Step 3: Cross multiply
    82,017.10x = 123,025.65 × 71,649.10
  4. Step 4: Simplify right side
    82,017.10x = 8,814,677,099.42
  5. Step 5: Solve for x
    x = 8,814,677,099.42/82,017.10
  6. Step 6: Final answer
    x = 107,473.65

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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.