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Finding the Fourth Proportional to 78,179.80, 107,893.52 and 47,564.83

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Solution

The fourth proportional to 78,179.80, 107,893.52 and 47,564.83 is: 65,642.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,179.80 : 107,893.52 = 47,564.83 : x
  2. Step 2: Convert to fraction form
    78,179.80/107,893.52 = 47,564.83/x
  3. Step 3: Cross multiply
    78,179.80x = 107,893.52 × 47,564.83
  4. Step 4: Simplify right side
    78,179.80x = 5,131,936,936.90
  5. Step 5: Solve for x
    x = 5,131,936,936.90/78,179.80
  6. Step 6: Final answer
    x = 65,642.75

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1.5x scale

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.