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Finding the Fourth Proportional to 120,165, 180,355.83 and 64,051.84

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Solution

The fourth proportional to 120,165, 180,355.83 and 64,051.84 is: 96,135.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,165 : 180,355.83 = 64,051.84 : x
  2. Step 2: Convert to fraction form
    120,165/180,355.83 = 64,051.84/x
  3. Step 3: Cross multiply
    120,165x = 180,355.83 × 64,051.84
  4. Step 4: Simplify right side
    120,165x = 11,552,122,766.23
  5. Step 5: Solve for x
    x = 11,552,122,766.23/120,165
  6. Step 6: Final answer
    x = 96,135.50

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1.5x scale

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.