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Finding the Fourth Proportional to 162,522.28, 243,813.92 and 73,782

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Solution

The fourth proportional to 162,522.28, 243,813.92 and 73,782 is: 110,686.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,522.28 : 243,813.92 = 73,782 : x
  2. Step 2: Convert to fraction form
    162,522.28/243,813.92 = 73,782/x
  3. Step 3: Cross multiply
    162,522.28x = 243,813.92 × 73,782
  4. Step 4: Simplify right side
    162,522.28x = 17,989,078,645.44
  5. Step 5: Solve for x
    x = 17,989,078,645.44/162,522.28
  6. Step 6: Final answer
    x = 110,686.85

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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.