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Finding the Fourth Proportional to 120,589.84, 180,860.08 and 45,684.16

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Solution

The fourth proportional to 120,589.84, 180,860.08 and 45,684.16 is: 68,516.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,589.84 : 180,860.08 = 45,684.16 : x
  2. Step 2: Convert to fraction form
    120,589.84/180,860.08 = 45,684.16/x
  3. Step 3: Cross multiply
    120,589.84x = 180,860.08 × 45,684.16
  4. Step 4: Simplify right side
    120,589.84x = 8,262,440,832.33
  5. Step 5: Solve for x
    x = 8,262,440,832.33/120,589.84
  6. Step 6: Final answer
    x = 68,516.89

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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.