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Finding the Fourth Proportional to 78,209.67, 107,929.49 and 42,399.84

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Solution

The fourth proportional to 78,209.67, 107,929.49 and 42,399.84 is: 58,511.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,209.67 : 107,929.49 = 42,399.84 : x
  2. Step 2: Convert to fraction form
    78,209.67/107,929.49 = 42,399.84/x
  3. Step 3: Cross multiply
    78,209.67x = 107,929.49 × 42,399.84
  4. Step 4: Simplify right side
    78,209.67x = 4,576,193,107.28
  5. Step 5: Solve for x
    x = 4,576,193,107.28/78,209.67
  6. Step 6: Final answer
    x = 58,511.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.