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Finding the Fourth Proportional to 48,474.88, 72,712.40 and 13,414.64

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Solution

The fourth proportional to 48,474.88, 72,712.40 and 13,414.64 is: 20,121.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,474.88 : 72,712.40 = 13,414.64 : x
  2. Step 2: Convert to fraction form
    48,474.88/72,712.40 = 13,414.64/x
  3. Step 3: Cross multiply
    48,474.88x = 72,712.40 × 13,414.64
  4. Step 4: Simplify right side
    48,474.88x = 975,410,669.54
  5. Step 5: Solve for x
    x = 975,410,669.54/48,474.88
  6. Step 6: Final answer
    x = 20,121.98

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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.