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Finding the Fourth Proportional to 70,449.55, 105,708.44 and 31,001.54

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Solution

The fourth proportional to 70,449.55, 105,708.44 and 31,001.54 is: 46,517.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,449.55 : 105,708.44 = 31,001.54 : x
  2. Step 2: Convert to fraction form
    70,449.55/105,708.44 = 31,001.54/x
  3. Step 3: Cross multiply
    70,449.55x = 105,708.44 × 31,001.54
  4. Step 4: Simplify right side
    70,449.55x = 3,277,123,979.96
  5. Step 5: Solve for x
    x = 3,277,123,979.96/70,449.55
  6. Step 6: Final answer
    x = 46,517.32

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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.