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Finding the Fourth Proportional to 70,109.68, 105,178.38 and 25,736.81

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Solution

The fourth proportional to 70,109.68, 105,178.38 and 25,736.81 is: 38,610.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,109.68 : 105,178.38 = 25,736.81 : x
  2. Step 2: Convert to fraction form
    70,109.68/105,178.38 = 25,736.81/x
  3. Step 3: Cross multiply
    70,109.68x = 105,178.38 × 25,736.81
  4. Step 4: Simplify right side
    70,109.68x = 2,706,956,245.11
  5. Step 5: Solve for x
    x = 2,706,956,245.11/70,109.68
  6. Step 6: Final answer
    x = 38,610.31

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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.