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Finding the Fourth Proportional to 70,405.73, 105,608.81 and 17,815.20

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Solution

The fourth proportional to 70,405.73, 105,608.81 and 17,815.20 is: 26,722.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,405.73 : 105,608.81 = 17,815.20 : x
  2. Step 2: Convert to fraction form
    70,405.73/105,608.81 = 17,815.20/x
  3. Step 3: Cross multiply
    70,405.73x = 105,608.81 × 17,815.20
  4. Step 4: Simplify right side
    70,405.73x = 1,881,441,982.84
  5. Step 5: Solve for x
    x = 1,881,441,982.84/70,405.73
  6. Step 6: Final answer
    x = 26,722.86

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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.