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Finding the Fourth Proportional to 84,375, 126,563.73 and 22,045.50

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Solution

The fourth proportional to 84,375, 126,563.73 and 22,045.50 is: 33,068.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,375 : 126,563.73 = 22,045.50 : x
  2. Step 2: Convert to fraction form
    84,375/126,563.73 = 22,045.50/x
  3. Step 3: Cross multiply
    84,375x = 126,563.73 × 22,045.50
  4. Step 4: Simplify right side
    84,375x = 2,790,160,709.72
  5. Step 5: Solve for x
    x = 2,790,160,709.72/84,375
  6. Step 6: Final answer
    x = 33,068.57

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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.