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Finding the Fourth Proportional to 78,067.96, 107,746.42 and 47,869.96

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Solution

The fourth proportional to 78,067.96, 107,746.42 and 47,869.96 is: 66,068.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,067.96 : 107,746.42 = 47,869.96 : x
  2. Step 2: Convert to fraction form
    78,067.96/107,746.42 = 47,869.96/x
  3. Step 3: Cross multiply
    78,067.96x = 107,746.42 × 47,869.96
  4. Step 4: Simplify right side
    78,067.96x = 5,157,816,815.54
  5. Step 5: Solve for x
    x = 5,157,816,815.54/78,067.96
  6. Step 6: Final answer
    x = 66,068.29

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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.