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Finding the Fourth Proportional to 120,684.13, 180,914.11 and 64,562.97

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Solution

The fourth proportional to 120,684.13, 180,914.11 and 64,562.97 is: 96,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,684.13 : 180,914.11 = 64,562.97 : x
  2. Step 2: Convert to fraction form
    120,684.13/180,914.11 = 64,562.97/x
  3. Step 3: Cross multiply
    120,684.13x = 180,914.11 × 64,562.97
  4. Step 4: Simplify right side
    120,684.13x = 11,680,352,773.53
  5. Step 5: Solve for x
    x = 11,680,352,773.53/120,684.13
  6. Step 6: Final answer
    x = 96,784.50

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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.