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Finding the Fourth Proportional to 149,146, 205,821.52 and 82,078

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Solution

The fourth proportional to 149,146, 205,821.52 and 82,078 is: 113,267.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,146 : 205,821.52 = 82,078 : x
  2. Step 2: Convert to fraction form
    149,146/205,821.52 = 82,078/x
  3. Step 3: Cross multiply
    149,146x = 205,821.52 × 82,078
  4. Step 4: Simplify right side
    149,146x = 16,893,418,718.56
  5. Step 5: Solve for x
    x = 16,893,418,718.56/149,146
  6. Step 6: Final answer
    x = 113,267.66

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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.