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Finding the Fourth Proportional to 122,668.13, 169,257.22 and 71,671

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Solution

The fourth proportional to 122,668.13, 169,257.22 and 71,671 is: 98,891.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,668.13 : 169,257.22 = 71,671 : x
  2. Step 2: Convert to fraction form
    122,668.13/169,257.22 = 71,671/x
  3. Step 3: Cross multiply
    122,668.13x = 169,257.22 × 71,671
  4. Step 4: Simplify right side
    122,668.13x = 12,130,834,214.62
  5. Step 5: Solve for x
    x = 12,130,834,214.62/122,668.13
  6. Step 6: Final answer
    x = 98,891.49

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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.