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Finding the Fourth Proportional to 83,698.56, 115,529.60 and 49,712.58

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Solution

The fourth proportional to 83,698.56, 115,529.60 and 49,712.58 is: 68,618.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,698.56 : 115,529.60 = 49,712.58 : x
  2. Step 2: Convert to fraction form
    83,698.56/115,529.60 = 49,712.58/x
  3. Step 3: Cross multiply
    83,698.56x = 115,529.60 × 49,712.58
  4. Step 4: Simplify right side
    83,698.56x = 5,743,274,482.37
  5. Step 5: Solve for x
    x = 5,743,274,482.37/83,698.56
  6. Step 6: Final answer
    x = 68,618.56

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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.