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Finding the Fourth Proportional to 84,778.13, 116,999.28 and 47,052.38

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Solution

The fourth proportional to 84,778.13, 116,999.28 and 47,052.38 is: 64,935.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,778.13 : 116,999.28 = 47,052.38 : x
  2. Step 2: Convert to fraction form
    84,778.13/116,999.28 = 47,052.38/x
  3. Step 3: Cross multiply
    84,778.13x = 116,999.28 × 47,052.38
  4. Step 4: Simplify right side
    84,778.13x = 5,505,093,997.29
  5. Step 5: Solve for x
    x = 5,505,093,997.29/84,778.13
  6. Step 6: Final answer
    x = 64,935.31

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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.