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Finding the Fourth Proportional to 52,360.26, 78,489.63 and 20,760

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Solution

The fourth proportional to 52,360.26, 78,489.63 and 20,760 is: 31,119.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,360.26 : 78,489.63 = 20,760 : x
  2. Step 2: Convert to fraction form
    52,360.26/78,489.63 = 20,760/x
  3. Step 3: Cross multiply
    52,360.26x = 78,489.63 × 20,760
  4. Step 4: Simplify right side
    52,360.26x = 1,629,444,718.80
  5. Step 5: Solve for x
    x = 1,629,444,718.80/52,360.26
  6. Step 6: Final answer
    x = 31,119.87

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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.