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Finding the Fourth Proportional to 70,449.27, 105,719.70 and 30,507.25

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Solution

The fourth proportional to 70,449.27, 105,719.70 and 30,507.25 is: 45,780.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,449.27 : 105,719.70 = 30,507.25 : x
  2. Step 2: Convert to fraction form
    70,449.27/105,719.70 = 30,507.25/x
  3. Step 3: Cross multiply
    70,449.27x = 105,719.70 × 30,507.25
  4. Step 4: Simplify right side
    70,449.27x = 3,225,217,317.83
  5. Step 5: Solve for x
    x = 3,225,217,317.83/70,449.27
  6. Step 6: Final answer
    x = 45,780.71

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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.