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Finding the Fourth Proportional to 70,431.96, 105,693.72 and 30,489.90

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Solution

The fourth proportional to 70,431.96, 105,693.72 and 30,489.90 is: 45,754.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,431.96 : 105,693.72 = 30,489.90 : x
  2. Step 2: Convert to fraction form
    70,431.96/105,693.72 = 30,489.90/x
  3. Step 3: Cross multiply
    70,431.96x = 105,693.72 × 30,489.90
  4. Step 4: Simplify right side
    70,431.96x = 3,222,590,953.43
  5. Step 5: Solve for x
    x = 3,222,590,953.43/70,431.96
  6. Step 6: Final answer
    x = 45,754.67

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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.