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Finding the Fourth Proportional to 120,431.91, 180,813.71 and 61,308.79

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Solution

The fourth proportional to 120,431.91, 180,813.71 and 61,308.79 is: 92,047.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,431.91 : 180,813.71 = 61,308.79 : x
  2. Step 2: Convert to fraction form
    120,431.91/180,813.71 = 61,308.79/x
  3. Step 3: Cross multiply
    120,431.91x = 180,813.71 × 61,308.79
  4. Step 4: Simplify right side
    120,431.91x = 11,085,469,775.51
  5. Step 5: Solve for x
    x = 11,085,469,775.51/120,431.91
  6. Step 6: Final answer
    x = 92,047.61

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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.