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Finding the Fourth Proportional to 120,204.80, 166,018.78 and 81,897.88

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Solution

The fourth proportional to 120,204.80, 166,018.78 and 81,897.88 is: 113,111.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,204.80 : 166,018.78 = 81,897.88 : x
  2. Step 2: Convert to fraction form
    120,204.80/166,018.78 = 81,897.88/x
  3. Step 3: Cross multiply
    120,204.80x = 166,018.78 × 81,897.88
  4. Step 4: Simplify right side
    120,204.80x = 13,596,586,122.19
  5. Step 5: Solve for x
    x = 13,596,586,122.19/120,204.80
  6. Step 6: Final answer
    x = 113,111.84

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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.