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Finding the Fourth Proportional to 47,908.56, 71,813.72 and 21,631.76

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Solution

The fourth proportional to 47,908.56, 71,813.72 and 21,631.76 is: 32,425.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,908.56 : 71,813.72 = 21,631.76 : x
  2. Step 2: Convert to fraction form
    47,908.56/71,813.72 = 21,631.76/x
  3. Step 3: Cross multiply
    47,908.56x = 71,813.72 × 21,631.76
  4. Step 4: Simplify right side
    47,908.56x = 1,553,457,155.75
  5. Step 5: Solve for x
    x = 1,553,457,155.75/47,908.56
  6. Step 6: Final answer
    x = 32,425.46

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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.