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Finding the Fourth Proportional to 78,006, 107,604.54 and 47,805.96

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Solution

The fourth proportional to 78,006, 107,604.54 and 47,805.96 is: 65,945.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,006 : 107,604.54 = 47,805.96 : x
  2. Step 2: Convert to fraction form
    78,006/107,604.54 = 47,805.96/x
  3. Step 3: Cross multiply
    78,006x = 107,604.54 × 47,805.96
  4. Step 4: Simplify right side
    78,006x = 5,144,138,335.06
  5. Step 5: Solve for x
    x = 5,144,138,335.06/78,006
  6. Step 6: Final answer
    x = 65,945.42

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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.