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Finding the Fourth Proportional to 80,957.64, 111,721.79 and 44,658.21

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Solution

The fourth proportional to 80,957.64, 111,721.79 and 44,658.21 is: 61,628.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,957.64 : 111,721.79 = 44,658.21 : x
  2. Step 2: Convert to fraction form
    80,957.64/111,721.79 = 44,658.21/x
  3. Step 3: Cross multiply
    80,957.64x = 111,721.79 × 44,658.21
  4. Step 4: Simplify right side
    80,957.64x = 4,989,294,936.10
  5. Step 5: Solve for x
    x = 4,989,294,936.10/80,957.64
  6. Step 6: Final answer
    x = 61,628.46

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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.