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Finding the Fourth Proportional to 120,114, 180,138.60 and 45,228.96

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Solution

The fourth proportional to 120,114, 180,138.60 and 45,228.96 is: 67,831.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,114 : 180,138.60 = 45,228.96 : x
  2. Step 2: Convert to fraction form
    120,114/180,138.60 = 45,228.96/x
  3. Step 3: Cross multiply
    120,114x = 180,138.60 × 45,228.96
  4. Step 4: Simplify right side
    120,114x = 8,147,481,533.86
  5. Step 5: Solve for x
    x = 8,147,481,533.86/120,114
  6. Step 6: Final answer
    x = 67,831.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.