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Finding the Fourth Proportional to 102,842.98, 154,015.44 and 71,164.24

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Solution

The fourth proportional to 102,842.98, 154,015.44 and 71,164.24 is: 106,574.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,842.98 : 154,015.44 = 71,164.24 : x
  2. Step 2: Convert to fraction form
    102,842.98/154,015.44 = 71,164.24/x
  3. Step 3: Cross multiply
    102,842.98x = 154,015.44 × 71,164.24
  4. Step 4: Simplify right side
    102,842.98x = 10,960,391,735.87
  5. Step 5: Solve for x
    x = 10,960,391,735.87/102,842.98
  6. Step 6: Final answer
    x = 106,574.04

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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.