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Finding the Fourth Proportional to 78,584.88, 117,877.43 and 19,419.65

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Solution

The fourth proportional to 78,584.88, 117,877.43 and 19,419.65 is: 29,129.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,584.88 : 117,877.43 = 19,419.65 : x
  2. Step 2: Convert to fraction form
    78,584.88/117,877.43 = 19,419.65/x
  3. Step 3: Cross multiply
    78,584.88x = 117,877.43 × 19,419.65
  4. Step 4: Simplify right side
    78,584.88x = 2,289,138,433.50
  5. Step 5: Solve for x
    x = 2,289,138,433.50/78,584.88
  6. Step 6: Final answer
    x = 29,129.50

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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.