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Finding the Fourth Proportional to 120,524.67, 180,788.55 and 83,074.69

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Solution

The fourth proportional to 120,524.67, 180,788.55 and 83,074.69 is: 124,613.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,524.67 : 180,788.55 = 83,074.69 : x
  2. Step 2: Convert to fraction form
    120,524.67/180,788.55 = 83,074.69/x
  3. Step 3: Cross multiply
    120,524.67x = 180,788.55 × 83,074.69
  4. Step 4: Simplify right side
    120,524.67x = 15,018,952,661.26
  5. Step 5: Solve for x
    x = 15,018,952,661.26/120,524.67
  6. Step 6: Final answer
    x = 124,613.10

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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.