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Finding the Fourth Proportional to 103,986.96, 155,980.32 and 33,866.16

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Solution

The fourth proportional to 103,986.96, 155,980.32 and 33,866.16 is: 50,799.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,986.96 : 155,980.32 = 33,866.16 : x
  2. Step 2: Convert to fraction form
    103,986.96/155,980.32 = 33,866.16/x
  3. Step 3: Cross multiply
    103,986.96x = 155,980.32 × 33,866.16
  4. Step 4: Simplify right side
    103,986.96x = 5,282,454,473.97
  5. Step 5: Solve for x
    x = 5,282,454,473.97/103,986.96
  6. Step 6: Final answer
    x = 50,799.20

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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.