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Finding the Fourth Proportional to 70,412.56, 105,619.04 and 20,493.88

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Solution

The fourth proportional to 70,412.56, 105,619.04 and 20,493.88 is: 30,740.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,412.56 : 105,619.04 = 20,493.88 : x
  2. Step 2: Convert to fraction form
    70,412.56/105,619.04 = 20,493.88/x
  3. Step 3: Cross multiply
    70,412.56x = 105,619.04 × 20,493.88
  4. Step 4: Simplify right side
    70,412.56x = 2,164,543,641.81
  5. Step 5: Solve for x
    x = 2,164,543,641.81/70,412.56
  6. Step 6: Final answer
    x = 30,740.88

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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.