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Finding the Fourth Proportional to 70,051.92, 105,046.32 and 20,120.64

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Solution

The fourth proportional to 70,051.92, 105,046.32 and 20,120.64 is: 30,171.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,051.92 : 105,046.32 = 20,120.64 : x
  2. Step 2: Convert to fraction form
    70,051.92/105,046.32 = 20,120.64/x
  3. Step 3: Cross multiply
    70,051.92x = 105,046.32 × 20,120.64
  4. Step 4: Simplify right side
    70,051.92x = 2,113,599,188.04
  5. Step 5: Solve for x
    x = 2,113,599,188.04/70,051.92
  6. Step 6: Final answer
    x = 30,171.90

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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.