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Finding the Fourth Proportional to 74,871.72, 103,340.21 and 49,382.64

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Solution

The fourth proportional to 74,871.72, 103,340.21 and 49,382.64 is: 68,159.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,871.72 : 103,340.21 = 49,382.64 : x
  2. Step 2: Convert to fraction form
    74,871.72/103,340.21 = 49,382.64/x
  3. Step 3: Cross multiply
    74,871.72x = 103,340.21 × 49,382.64
  4. Step 4: Simplify right side
    74,871.72x = 5,103,212,141.04
  5. Step 5: Solve for x
    x = 5,103,212,141.04/74,871.72
  6. Step 6: Final answer
    x = 68,159.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.