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Finding the Fourth Proportional to 165,136.32, 247,704.48 and 71,640

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Solution

The fourth proportional to 165,136.32, 247,704.48 and 71,640 is: 107,460

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,136.32 : 247,704.48 = 71,640 : x
  2. Step 2: Convert to fraction form
    165,136.32/247,704.48 = 71,640/x
  3. Step 3: Cross multiply
    165,136.32x = 247,704.48 × 71,640
  4. Step 4: Simplify right side
    165,136.32x = 17,745,548,947.20
  5. Step 5: Solve for x
    x = 17,745,548,947.20/165,136.32
  6. Step 6: Final answer
    x = 107,460

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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.