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Finding the Fourth Proportional to 52,079, 78,131.82 and 15,143

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Solution

The fourth proportional to 52,079, 78,131.82 and 15,143 is: 22,718.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,079 : 78,131.82 = 15,143 : x
  2. Step 2: Convert to fraction form
    52,079/78,131.82 = 15,143/x
  3. Step 3: Cross multiply
    52,079x = 78,131.82 × 15,143
  4. Step 4: Simplify right side
    52,079x = 1,183,150,150.26
  5. Step 5: Solve for x
    x = 1,183,150,150.26/52,079
  6. Step 6: Final answer
    x = 22,718.37

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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.