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Finding the Fourth Proportional to 120,654.60, 181,012.64 and 85,185.01

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Solution

The fourth proportional to 120,654.60, 181,012.64 and 85,185.01 is: 127,799.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,654.60 : 181,012.64 = 85,185.01 : x
  2. Step 2: Convert to fraction form
    120,654.60/181,012.64 = 85,185.01/x
  3. Step 3: Cross multiply
    120,654.60x = 181,012.64 × 85,185.01
  4. Step 4: Simplify right side
    120,654.60x = 15,419,563,548.53
  5. Step 5: Solve for x
    x = 15,419,563,548.53/120,654.60
  6. Step 6: Final answer
    x = 127,799.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.