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Finding the Fourth Proportional to 163,446, 245,169 and 52,638

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Solution

The fourth proportional to 163,446, 245,169 and 52,638 is: 78,957

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,446 : 245,169 = 52,638 : x
  2. Step 2: Convert to fraction form
    163,446/245,169 = 52,638/x
  3. Step 3: Cross multiply
    163,446x = 245,169 × 52,638
  4. Step 4: Simplify right side
    163,446x = 12,905,205,822
  5. Step 5: Solve for x
    x = 12,905,205,822/163,446
  6. Step 6: Final answer
    x = 78,957

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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.