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Finding the Fourth Proportional to 120,181.60, 180,539.70 and 100,498.60

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Solution

The fourth proportional to 120,181.60, 180,539.70 and 100,498.60 is: 150,971.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,181.60 : 180,539.70 = 100,498.60 : x
  2. Step 2: Convert to fraction form
    120,181.60/180,539.70 = 100,498.60/x
  3. Step 3: Cross multiply
    120,181.60x = 180,539.70 × 100,498.60
  4. Step 4: Simplify right side
    120,181.60x = 18,143,987,094.42
  5. Step 5: Solve for x
    x = 18,143,987,094.42/120,181.60
  6. Step 6: Final answer
    x = 150,971.42

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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.