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Finding the Fourth Proportional to 52,032.76, 78,049.34 and 12,589.81

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Solution

The fourth proportional to 52,032.76, 78,049.34 and 12,589.81 is: 18,884.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,032.76 : 78,049.34 = 12,589.81 : x
  2. Step 2: Convert to fraction form
    52,032.76/78,049.34 = 12,589.81/x
  3. Step 3: Cross multiply
    52,032.76x = 78,049.34 × 12,589.81
  4. Step 4: Simplify right side
    52,032.76x = 982,626,361.23
  5. Step 5: Solve for x
    x = 982,626,361.23/52,032.76
  6. Step 6: Final answer
    x = 18,884.76

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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.