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Finding the Fourth Proportional to 120,484.14, 180,788.18 and 57,375.83

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Solution

The fourth proportional to 120,484.14, 180,788.18 and 57,375.83 is: 86,093.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,484.14 : 180,788.18 = 57,375.83 : x
  2. Step 2: Convert to fraction form
    120,484.14/180,788.18 = 57,375.83/x
  3. Step 3: Cross multiply
    120,484.14x = 180,788.18 × 57,375.83
  4. Step 4: Simplify right side
    120,484.14x = 10,372,870,690.87
  5. Step 5: Solve for x
    x = 10,372,870,690.87/120,484.14
  6. Step 6: Final answer
    x = 86,093.25

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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.