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Finding the Fourth Proportional to 149,140.57, 205,814.01 and 82,072.57

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Solution

The fourth proportional to 149,140.57, 205,814.01 and 82,072.57 is: 113,260.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,140.57 : 205,814.01 = 82,072.57 : x
  2. Step 2: Convert to fraction form
    149,140.57/205,814.01 = 82,072.57/x
  3. Step 3: Cross multiply
    149,140.57x = 205,814.01 × 82,072.57
  4. Step 4: Simplify right side
    149,140.57x = 16,891,683,713.64
  5. Step 5: Solve for x
    x = 16,891,683,713.64/149,140.57
  6. Step 6: Final answer
    x = 113,260.16

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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.