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Finding the Fourth Proportional to 70,166.40, 105,217.20 and 30,703.20

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Solution

The fourth proportional to 70,166.40, 105,217.20 and 30,703.20 is: 46,040.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,166.40 : 105,217.20 = 30,703.20 : x
  2. Step 2: Convert to fraction form
    70,166.40/105,217.20 = 30,703.20/x
  3. Step 3: Cross multiply
    70,166.40x = 105,217.20 × 30,703.20
  4. Step 4: Simplify right side
    70,166.40x = 3,230,504,735.04
  5. Step 5: Solve for x
    x = 3,230,504,735.04/70,166.40
  6. Step 6: Final answer
    x = 46,040.62

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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.