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Finding the Fourth Proportional to 78,999.80, 109,021.02 and 47,171.48

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Solution

The fourth proportional to 78,999.80, 109,021.02 and 47,171.48 is: 65,097.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,999.80 : 109,021.02 = 47,171.48 : x
  2. Step 2: Convert to fraction form
    78,999.80/109,021.02 = 47,171.48/x
  3. Step 3: Cross multiply
    78,999.80x = 109,021.02 × 47,171.48
  4. Step 4: Simplify right side
    78,999.80x = 5,142,682,864.51
  5. Step 5: Solve for x
    x = 5,142,682,864.51/78,999.80
  6. Step 6: Final answer
    x = 65,097.42

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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.