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Finding the Fourth Proportional to 70,382.36, 105,574.24 and 17,791.86

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Solution

The fourth proportional to 70,382.36, 105,574.24 and 17,791.86 is: 26,687.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,382.36 : 105,574.24 = 17,791.86 : x
  2. Step 2: Convert to fraction form
    70,382.36/105,574.24 = 17,791.86/x
  3. Step 3: Cross multiply
    70,382.36x = 105,574.24 × 17,791.86
  4. Step 4: Simplify right side
    70,382.36x = 1,878,362,097.69
  5. Step 5: Solve for x
    x = 1,878,362,097.69/70,382.36
  6. Step 6: Final answer
    x = 26,687.97

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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.