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Finding the Fourth Proportional to 122,578.92, 169,193.88 and 71,604

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Solution

The fourth proportional to 122,578.92, 169,193.88 and 71,604 is: 98,833.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,578.92 : 169,193.88 = 71,604 : x
  2. Step 2: Convert to fraction form
    122,578.92/169,193.88 = 71,604/x
  3. Step 3: Cross multiply
    122,578.92x = 169,193.88 × 71,604
  4. Step 4: Simplify right side
    122,578.92x = 12,114,958,583.52
  5. Step 5: Solve for x
    x = 12,114,958,583.52/122,578.92
  6. Step 6: Final answer
    x = 98,833.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.