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Finding the Fourth Proportional to 70,086.96, 105,140.16 and 20,169.90

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Solution

The fourth proportional to 70,086.96, 105,140.16 and 20,169.90 is: 30,257.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,086.96 : 105,140.16 = 20,169.90 : x
  2. Step 2: Convert to fraction form
    70,086.96/105,140.16 = 20,169.90/x
  3. Step 3: Cross multiply
    70,086.96x = 105,140.16 × 20,169.90
  4. Step 4: Simplify right side
    70,086.96x = 2,120,666,513.18
  5. Step 5: Solve for x
    x = 2,120,666,513.18/70,086.96
  6. Step 6: Final answer
    x = 30,257.65

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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.