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Finding the Fourth Proportional to 120,411.78, 166,010.70 and 103,596.63

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Solution

The fourth proportional to 120,411.78, 166,010.70 and 103,596.63 is: 142,827.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,411.78 : 166,010.70 = 103,596.63 : x
  2. Step 2: Convert to fraction form
    120,411.78/166,010.70 = 103,596.63/x
  3. Step 3: Cross multiply
    120,411.78x = 166,010.70 × 103,596.63
  4. Step 4: Simplify right side
    120,411.78x = 17,198,149,063.94
  5. Step 5: Solve for x
    x = 17,198,149,063.94/120,411.78
  6. Step 6: Final answer
    x = 142,827.80

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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.