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Finding the Fourth Proportional to 70,647.64, 105,971.19 and 18,057.04

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Solution

The fourth proportional to 70,647.64, 105,971.19 and 18,057.04 is: 27,085.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,647.64 : 105,971.19 = 18,057.04 : x
  2. Step 2: Convert to fraction form
    70,647.64/105,971.19 = 18,057.04/x
  3. Step 3: Cross multiply
    70,647.64x = 105,971.19 × 18,057.04
  4. Step 4: Simplify right side
    70,647.64x = 1,913,526,016.68
  5. Step 5: Solve for x
    x = 1,913,526,016.68/70,647.64
  6. Step 6: Final answer
    x = 27,085.49

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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.