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Finding the Fourth Proportional to 163,450, 245,175 and 52,642

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Solution

The fourth proportional to 163,450, 245,175 and 52,642 is: 78,963

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,450 : 245,175 = 52,642 : x
  2. Step 2: Convert to fraction form
    163,450/245,175 = 52,642/x
  3. Step 3: Cross multiply
    163,450x = 245,175 × 52,642
  4. Step 4: Simplify right side
    163,450x = 12,906,502,350
  5. Step 5: Solve for x
    x = 12,906,502,350/163,450
  6. Step 6: Final answer
    x = 78,963

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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.