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Finding the Fourth Proportional to 149,151.59, 205,829.19 and 82,083.59

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Solution

The fourth proportional to 149,151.59, 205,829.19 and 82,083.59 is: 113,275.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,151.59 : 205,829.19 = 82,083.59 : x
  2. Step 2: Convert to fraction form
    149,151.59/205,829.19 = 82,083.59/x
  3. Step 3: Cross multiply
    149,151.59x = 205,829.19 × 82,083.59
  4. Step 4: Simplify right side
    149,151.59x = 16,895,198,841.99
  5. Step 5: Solve for x
    x = 16,895,198,841.99/149,151.59
  6. Step 6: Final answer
    x = 113,275.35

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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.