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Finding the Fourth Proportional to 48,491.58, 72,737.37 and 13,431.24

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Solution

The fourth proportional to 48,491.58, 72,737.37 and 13,431.24 is: 20,146.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,491.58 : 72,737.37 = 13,431.24 : x
  2. Step 2: Convert to fraction form
    48,491.58/72,737.37 = 13,431.24/x
  3. Step 3: Cross multiply
    48,491.58x = 72,737.37 × 13,431.24
  4. Step 4: Simplify right side
    48,491.58x = 976,953,073.44
  5. Step 5: Solve for x
    x = 976,953,073.44/48,491.58
  6. Step 6: Final answer
    x = 20,146.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.