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Finding the Fourth Proportional to 30,431.62, 42,049.29 and 23,418.64

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Solution

The fourth proportional to 30,431.62, 42,049.29 and 23,418.64 is: 32,359.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,431.62 : 42,049.29 = 23,418.64 : x
  2. Step 2: Convert to fraction form
    30,431.62/42,049.29 = 23,418.64/x
  3. Step 3: Cross multiply
    30,431.62x = 42,049.29 × 23,418.64
  4. Step 4: Simplify right side
    30,431.62x = 984,737,184.77
  5. Step 5: Solve for x
    x = 984,737,184.77/30,431.62
  6. Step 6: Final answer
    x = 32,359.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.