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Finding the Fourth Proportional to 47,980.80, 71,963.06 and 12,912.64

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Solution

The fourth proportional to 47,980.80, 71,963.06 and 12,912.64 is: 19,366.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,980.80 : 71,963.06 = 12,912.64 : x
  2. Step 2: Convert to fraction form
    47,980.80/71,963.06 = 12,912.64/x
  3. Step 3: Cross multiply
    47,980.80x = 71,963.06 × 12,912.64
  4. Step 4: Simplify right side
    47,980.80x = 929,233,087.08
  5. Step 5: Solve for x
    x = 929,233,087.08/47,980.80
  6. Step 6: Final answer
    x = 19,366.77

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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.