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Finding the Fourth Proportional to 120,296.54, 180,311.16 and 61,009.71

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Solution

The fourth proportional to 120,296.54, 180,311.16 and 61,009.71 is: 91,446.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,296.54 : 180,311.16 = 61,009.71 : x
  2. Step 2: Convert to fraction form
    120,296.54/180,311.16 = 61,009.71/x
  3. Step 3: Cross multiply
    120,296.54x = 180,311.16 × 61,009.71
  4. Step 4: Simplify right side
    120,296.54x = 11,000,731,133.98
  5. Step 5: Solve for x
    x = 11,000,731,133.98/120,296.54
  6. Step 6: Final answer
    x = 91,446.78

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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.