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Finding the Fourth Proportional to 70,431.81, 105,651.57 and 17,841.75

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Solution

The fourth proportional to 70,431.81, 105,651.57 and 17,841.75 is: 26,763.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,431.81 : 105,651.57 = 17,841.75 : x
  2. Step 2: Convert to fraction form
    70,431.81/105,651.57 = 17,841.75/x
  3. Step 3: Cross multiply
    70,431.81x = 105,651.57 × 17,841.75
  4. Step 4: Simplify right side
    70,431.81x = 1,885,008,899.05
  5. Step 5: Solve for x
    x = 1,885,008,899.05/70,431.81
  6. Step 6: Final answer
    x = 26,763.60

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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.