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Finding the Fourth Proportional to 70,165.90, 105,284.40 and 30,723.40

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Solution

The fourth proportional to 70,165.90, 105,284.40 and 30,723.40 is: 46,100.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,165.90 : 105,284.40 = 30,723.40 : x
  2. Step 2: Convert to fraction form
    70,165.90/105,284.40 = 30,723.40/x
  3. Step 3: Cross multiply
    70,165.90x = 105,284.40 × 30,723.40
  4. Step 4: Simplify right side
    70,165.90x = 3,234,694,734.96
  5. Step 5: Solve for x
    x = 3,234,694,734.96/70,165.90
  6. Step 6: Final answer
    x = 46,100.67

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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.