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Finding the Fourth Proportional to 120,186.60, 180,042.30 and 105,412.20

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Solution

The fourth proportional to 120,186.60, 180,042.30 and 105,412.20 is: 157,909.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,186.60 : 180,042.30 = 105,412.20 : x
  2. Step 2: Convert to fraction form
    120,186.60/180,042.30 = 105,412.20/x
  3. Step 3: Cross multiply
    120,186.60x = 180,042.30 × 105,412.20
  4. Step 4: Simplify right side
    120,186.60x = 18,978,654,936.06
  5. Step 5: Solve for x
    x = 18,978,654,936.06/120,186.60
  6. Step 6: Final answer
    x = 157,909.91

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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.