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Finding the Fourth Proportional to 221,787.70, 306,067 and 121,185.70

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Solution

The fourth proportional to 221,787.70, 306,067 and 121,185.70 is: 167,236.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,787.70 : 306,067 = 121,185.70 : x
  2. Step 2: Convert to fraction form
    221,787.70/306,067 = 121,185.70/x
  3. Step 3: Cross multiply
    221,787.70x = 306,067 × 121,185.70
  4. Step 4: Simplify right side
    221,787.70x = 37,090,943,641.90
  5. Step 5: Solve for x
    x = 37,090,943,641.90/221,787.70
  6. Step 6: Final answer
    x = 167,236.25

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1.5x scale

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.