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Finding the Fourth Proportional to 32,158.10, 48,245.81 and 13,431.91

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Solution

The fourth proportional to 32,158.10, 48,245.81 and 13,431.91 is: 20,151.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,158.10 : 48,245.81 = 13,431.91 : x
  2. Step 2: Convert to fraction form
    32,158.10/48,245.81 = 13,431.91/x
  3. Step 3: Cross multiply
    32,158.10x = 48,245.81 × 13,431.91
  4. Step 4: Simplify right side
    32,158.10x = 648,033,377.80
  5. Step 5: Solve for x
    x = 648,033,377.80/32,158.10
  6. Step 6: Final answer
    x = 20,151.48

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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.