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Finding the Fourth Proportional to 149,140.66, 205,814.14 and 82,072.66

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Solution

The fourth proportional to 149,140.66, 205,814.14 and 82,072.66 is: 113,260.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,140.66 : 205,814.14 = 82,072.66 : x
  2. Step 2: Convert to fraction form
    149,140.66/205,814.14 = 82,072.66/x
  3. Step 3: Cross multiply
    149,140.66x = 205,814.14 × 82,072.66
  4. Step 4: Simplify right side
    149,140.66x = 16,891,713,420.88
  5. Step 5: Solve for x
    x = 16,891,713,420.88/149,140.66
  6. Step 6: Final answer
    x = 113,260.29

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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.