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Finding the Fourth Proportional to 149,178, 205,865.64 and 82,110

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Solution

The fourth proportional to 149,178, 205,865.64 and 82,110 is: 113,311.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,178 : 205,865.64 = 82,110 : x
  2. Step 2: Convert to fraction form
    149,178/205,865.64 = 82,110/x
  3. Step 3: Cross multiply
    149,178x = 205,865.64 × 82,110
  4. Step 4: Simplify right side
    149,178x = 16,903,627,700.40
  5. Step 5: Solve for x
    x = 16,903,627,700.40/149,178
  6. Step 6: Final answer
    x = 113,311.80

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Why These Related Problems?

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