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Finding the Fourth Proportional to 120,076.98, 180,094.96 and 40,103.88

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Solution

The fourth proportional to 120,076.98, 180,094.96 and 40,103.88 is: 60,148.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,076.98 : 180,094.96 = 40,103.88 : x
  2. Step 2: Convert to fraction form
    120,076.98/180,094.96 = 40,103.88/x
  3. Step 3: Cross multiply
    120,076.98x = 180,094.96 × 40,103.88
  4. Step 4: Simplify right side
    120,076.98x = 7,222,506,664.44
  5. Step 5: Solve for x
    x = 7,222,506,664.44/120,076.98
  6. Step 6: Final answer
    x = 60,148.97

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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.