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Finding the Fourth Proportional to 205,671.84, 283,829.31 and 120,790.32

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Solution

The fourth proportional to 205,671.84, 283,829.31 and 120,790.32 is: 166,691.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,671.84 : 283,829.31 = 120,790.32 : x
  2. Step 2: Convert to fraction form
    205,671.84/283,829.31 = 120,790.32/x
  3. Step 3: Cross multiply
    205,671.84x = 283,829.31 × 120,790.32
  4. Step 4: Simplify right side
    205,671.84x = 34,283,833,180.28
  5. Step 5: Solve for x
    x = 34,283,833,180.28/205,671.84
  6. Step 6: Final answer
    x = 166,691.92

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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.