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Finding the Fourth Proportional to 52,082, 78,136.32 and 15,146

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Solution

The fourth proportional to 52,082, 78,136.32 and 15,146 is: 22,722.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,082 : 78,136.32 = 15,146 : x
  2. Step 2: Convert to fraction form
    52,082/78,136.32 = 15,146/x
  3. Step 3: Cross multiply
    52,082x = 78,136.32 × 15,146
  4. Step 4: Simplify right side
    52,082x = 1,183,452,702.72
  5. Step 5: Solve for x
    x = 1,183,452,702.72/52,082
  6. Step 6: Final answer
    x = 22,722.87

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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.