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Finding the Fourth Proportional to 102,028.20, 153,042.30 and 73,815.90

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Solution

The fourth proportional to 102,028.20, 153,042.30 and 73,815.90 is: 110,723.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,028.20 : 153,042.30 = 73,815.90 : x
  2. Step 2: Convert to fraction form
    102,028.20/153,042.30 = 73,815.90/x
  3. Step 3: Cross multiply
    102,028.20x = 153,042.30 × 73,815.90
  4. Step 4: Simplify right side
    102,028.20x = 11,296,955,112.57
  5. Step 5: Solve for x
    x = 11,296,955,112.57/102,028.20
  6. Step 6: Final answer
    x = 110,723.85

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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.