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Finding the Fourth Proportional to 122,969.21, 169,648.22 and 75,139.52

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Solution

The fourth proportional to 122,969.21, 169,648.22 and 75,139.52 is: 103,662.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,969.21 : 169,648.22 = 75,139.52 : x
  2. Step 2: Convert to fraction form
    122,969.21/169,648.22 = 75,139.52/x
  3. Step 3: Cross multiply
    122,969.21x = 169,648.22 × 75,139.52
  4. Step 4: Simplify right side
    122,969.21x = 12,747,285,159.26
  5. Step 5: Solve for x
    x = 12,747,285,159.26/122,969.21
  6. Step 6: Final answer
    x = 103,662.42

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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.