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Finding the Fourth Proportional to 205,511.52, 283,597.20 and 129,070.56

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Solution

The fourth proportional to 205,511.52, 283,597.20 and 129,070.56 is: 178,111.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,511.52 : 283,597.20 = 129,070.56 : x
  2. Step 2: Convert to fraction form
    205,511.52/283,597.20 = 129,070.56/x
  3. Step 3: Cross multiply
    205,511.52x = 283,597.20 × 129,070.56
  4. Step 4: Simplify right side
    205,511.52x = 36,604,049,418.43
  5. Step 5: Solve for x
    x = 36,604,049,418.43/205,511.52
  6. Step 6: Final answer
    x = 178,111.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.