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Finding the Fourth Proportional to 85,698.80, 128,596.82 and 33,112

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Solution

The fourth proportional to 85,698.80, 128,596.82 and 33,112 is: 49,686.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,698.80 : 128,596.82 = 33,112 : x
  2. Step 2: Convert to fraction form
    85,698.80/128,596.82 = 33,112/x
  3. Step 3: Cross multiply
    85,698.80x = 128,596.82 × 33,112
  4. Step 4: Simplify right side
    85,698.80x = 4,258,097,903.84
  5. Step 5: Solve for x
    x = 4,258,097,903.84/85,698.80
  6. Step 6: Final answer
    x = 49,686.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.