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Finding the Fourth Proportional to 122,608.81, 169,220.21 and 102,158.43

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Solution

The fourth proportional to 122,608.81, 169,220.21 and 102,158.43 is: 140,995.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,608.81 : 169,220.21 = 102,158.43 : x
  2. Step 2: Convert to fraction form
    122,608.81/169,220.21 = 102,158.43/x
  3. Step 3: Cross multiply
    122,608.81x = 169,220.21 × 102,158.43
  4. Step 4: Simplify right side
    122,608.81x = 17,287,270,977.87
  5. Step 5: Solve for x
    x = 17,287,270,977.87/122,608.81
  6. Step 6: Final answer
    x = 140,995.34

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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.