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Finding the Fourth Proportional to 84,781.13, 117,003.42 and 47,055.38

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Solution

The fourth proportional to 84,781.13, 117,003.42 and 47,055.38 is: 64,939.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,781.13 : 117,003.42 = 47,055.38 : x
  2. Step 2: Convert to fraction form
    84,781.13/117,003.42 = 47,055.38/x
  3. Step 3: Cross multiply
    84,781.13x = 117,003.42 × 47,055.38
  4. Step 4: Simplify right side
    84,781.13x = 5,505,639,804.38
  5. Step 5: Solve for x
    x = 5,505,639,804.38/84,781.13
  6. Step 6: Final answer
    x = 64,939.45

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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.