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Finding the Fourth Proportional to 67,991.70, 102,009.15 and 30,537.30

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Solution

The fourth proportional to 67,991.70, 102,009.15 and 30,537.30 is: 45,815.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,991.70 : 102,009.15 = 30,537.30 : x
  2. Step 2: Convert to fraction form
    67,991.70/102,009.15 = 30,537.30/x
  3. Step 3: Cross multiply
    67,991.70x = 102,009.15 × 30,537.30
  4. Step 4: Simplify right side
    67,991.70x = 3,115,084,016.30
  5. Step 5: Solve for x
    x = 3,115,084,016.30/67,991.70
  6. Step 6: Final answer
    x = 45,815.65

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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.