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Finding the Fourth Proportional to 84,781.63, 117,004.11 and 47,055.88

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Solution

The fourth proportional to 84,781.63, 117,004.11 and 47,055.88 is: 64,940.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,781.63 : 117,004.11 = 47,055.88 : x
  2. Step 2: Convert to fraction form
    84,781.63/117,004.11 = 47,055.88/x
  3. Step 3: Cross multiply
    84,781.63x = 117,004.11 × 47,055.88
  4. Step 4: Simplify right side
    84,781.63x = 5,505,731,359.67
  5. Step 5: Solve for x
    x = 5,505,731,359.67/84,781.63
  6. Step 6: Final answer
    x = 64,940.15

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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.