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Finding the Fourth Proportional to 120,441.78, 180,655.82 and 36,200.24

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Solution

The fourth proportional to 120,441.78, 180,655.82 and 36,200.24 is: 54,298.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,441.78 : 180,655.82 = 36,200.24 : x
  2. Step 2: Convert to fraction form
    120,441.78/180,655.82 = 36,200.24/x
  3. Step 3: Cross multiply
    120,441.78x = 180,655.82 × 36,200.24
  4. Step 4: Simplify right side
    120,441.78x = 6,539,784,041.40
  5. Step 5: Solve for x
    x = 6,539,784,041.40/120,441.78
  6. Step 6: Final answer
    x = 54,298.30

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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.