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Finding the Fourth Proportional to 81,838, 112,936.56 and 48,304

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Solution

The fourth proportional to 81,838, 112,936.56 and 48,304 is: 66,659.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,838 : 112,936.56 = 48,304 : x
  2. Step 2: Convert to fraction form
    81,838/112,936.56 = 48,304/x
  3. Step 3: Cross multiply
    81,838x = 112,936.56 × 48,304
  4. Step 4: Simplify right side
    81,838x = 5,455,287,594.24
  5. Step 5: Solve for x
    x = 5,455,287,594.24/81,838
  6. Step 6: Final answer
    x = 66,659.59

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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.