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Finding the Fourth Proportional to 85,920.54, 128,865.96 and 22,741.08

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Solution

The fourth proportional to 85,920.54, 128,865.96 and 22,741.08 is: 34,107.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,920.54 : 128,865.96 = 22,741.08 : x
  2. Step 2: Convert to fraction form
    85,920.54/128,865.96 = 22,741.08/x
  3. Step 3: Cross multiply
    85,920.54x = 128,865.96 × 22,741.08
  4. Step 4: Simplify right side
    85,920.54x = 2,930,551,105.64
  5. Step 5: Solve for x
    x = 2,930,551,105.64/85,920.54
  6. Step 6: Final answer
    x = 34,107.69

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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.