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Finding the Fourth Proportional to 48,574.36, 72,871.36 and 20,494.48

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Solution

The fourth proportional to 48,574.36, 72,871.36 and 20,494.48 is: 30,745.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,574.36 : 72,871.36 = 20,494.48 : x
  2. Step 2: Convert to fraction form
    48,574.36/72,871.36 = 20,494.48/x
  3. Step 3: Cross multiply
    48,574.36x = 72,871.36 × 20,494.48
  4. Step 4: Simplify right side
    48,574.36x = 1,493,460,664.61
  5. Step 5: Solve for x
    x = 1,493,460,664.61/48,574.36
  6. Step 6: Final answer
    x = 30,745.86

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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.