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Finding the Fourth Proportional to 120,214.80, 180,322.20 and 118,465.20

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Solution

The fourth proportional to 120,214.80, 180,322.20 and 118,465.20 is: 177,697.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,214.80 : 180,322.20 = 118,465.20 : x
  2. Step 2: Convert to fraction form
    120,214.80/180,322.20 = 118,465.20/x
  3. Step 3: Cross multiply
    120,214.80x = 180,322.20 × 118,465.20
  4. Step 4: Simplify right side
    120,214.80x = 21,361,905,487.44
  5. Step 5: Solve for x
    x = 21,361,905,487.44/120,214.80
  6. Step 6: Final answer
    x = 177,697.80

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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.