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Finding the Fourth Proportional to 84,840, 117,079.20 and 49,512

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Solution

The fourth proportional to 84,840, 117,079.20 and 49,512 is: 68,326.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,840 : 117,079.20 = 49,512 : x
  2. Step 2: Convert to fraction form
    84,840/117,079.20 = 49,512/x
  3. Step 3: Cross multiply
    84,840x = 117,079.20 × 49,512
  4. Step 4: Simplify right side
    84,840x = 5,796,825,350.40
  5. Step 5: Solve for x
    x = 5,796,825,350.40/84,840
  6. Step 6: Final answer
    x = 68,326.56

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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.