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Finding the Fourth Proportional to 149,151.80, 205,829.51 and 82,083.80

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Solution

The fourth proportional to 149,151.80, 205,829.51 and 82,083.80 is: 113,275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,151.80 : 205,829.51 = 82,083.80 : x
  2. Step 2: Convert to fraction form
    149,151.80/205,829.51 = 82,083.80/x
  3. Step 3: Cross multiply
    149,151.80x = 205,829.51 × 82,083.80
  4. Step 4: Simplify right side
    149,151.80x = 16,895,266,893.37
  5. Step 5: Solve for x
    x = 16,895,266,893.37/149,151.80
  6. Step 6: Final answer
    x = 113,275.65

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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.