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Finding the Fourth Proportional to 120,605.76, 180,917.30 and 31,858.40

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Solution

The fourth proportional to 120,605.76, 180,917.30 and 31,858.40 is: 47,789.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,605.76 : 180,917.30 = 31,858.40 : x
  2. Step 2: Convert to fraction form
    120,605.76/180,917.30 = 31,858.40/x
  3. Step 3: Cross multiply
    120,605.76x = 180,917.30 × 31,858.40
  4. Step 4: Simplify right side
    120,605.76x = 5,763,735,710.32
  5. Step 5: Solve for x
    x = 5,763,735,710.32/120,605.76
  6. Step 6: Final answer
    x = 47,789.89

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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.