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Finding the Fourth Proportional to 70,652.16, 105,940.92 and 31,190.64

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Solution

The fourth proportional to 70,652.16, 105,940.92 and 31,190.64 is: 46,769.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,652.16 : 105,940.92 = 31,190.64 : x
  2. Step 2: Convert to fraction form
    70,652.16/105,940.92 = 31,190.64/x
  3. Step 3: Cross multiply
    70,652.16x = 105,940.92 × 31,190.64
  4. Step 4: Simplify right side
    70,652.16x = 3,304,365,096.99
  5. Step 5: Solve for x
    x = 3,304,365,096.99/70,652.16
  6. Step 6: Final answer
    x = 46,769.48

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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.