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Finding the Fourth Proportional to 120,412.74, 180,582.12 and 45,568.20

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Solution

The fourth proportional to 120,412.74, 180,582.12 and 45,568.20 is: 68,338.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,412.74 : 180,582.12 = 45,568.20 : x
  2. Step 2: Convert to fraction form
    120,412.74/180,582.12 = 45,568.20/x
  3. Step 3: Cross multiply
    120,412.74x = 180,582.12 × 45,568.20
  4. Step 4: Simplify right side
    120,412.74x = 8,228,802,160.58
  5. Step 5: Solve for x
    x = 8,228,802,160.58/120,412.74
  6. Step 6: Final answer
    x = 68,338.30

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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.