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Finding the Fourth Proportional to 149,142.95, 205,817.30 and 82,074.95

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Solution

The fourth proportional to 149,142.95, 205,817.30 and 82,074.95 is: 113,263.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,142.95 : 205,817.30 = 82,074.95 : x
  2. Step 2: Convert to fraction form
    149,142.95/205,817.30 = 82,074.95/x
  3. Step 3: Cross multiply
    149,142.95x = 205,817.30 × 82,074.95
  4. Step 4: Simplify right side
    149,142.95x = 16,892,443,167.17
  5. Step 5: Solve for x
    x = 16,892,443,167.17/149,142.95
  6. Step 6: Final answer
    x = 113,263.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.