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Finding the Fourth Proportional to 221,622, 305,731.80 and 130,953.84

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Solution

The fourth proportional to 221,622, 305,731.80 and 130,953.84 is: 180,653.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,622 : 305,731.80 = 130,953.84 : x
  2. Step 2: Convert to fraction form
    221,622/305,731.80 = 130,953.84/x
  3. Step 3: Cross multiply
    221,622x = 305,731.80 × 130,953.84
  4. Step 4: Simplify right side
    221,622x = 40,036,753,220.11
  5. Step 5: Solve for x
    x = 40,036,753,220.11/221,622
  6. Step 6: Final answer
    x = 180,653.33

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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.