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Finding the Fourth Proportional to 48,471.72, 72,694.14 and 13,408.68

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Solution

The fourth proportional to 48,471.72, 72,694.14 and 13,408.68 is: 20,109.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,471.72 : 72,694.14 = 13,408.68 : x
  2. Step 2: Convert to fraction form
    48,471.72/72,694.14 = 13,408.68/x
  3. Step 3: Cross multiply
    48,471.72x = 72,694.14 × 13,408.68
  4. Step 4: Simplify right side
    48,471.72x = 974,732,461.14
  5. Step 5: Solve for x
    x = 974,732,461.14/48,471.72
  6. Step 6: Final answer
    x = 20,109.30

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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.