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Finding the Fourth Proportional to 84,891.68, 117,101.72 and 53,005.22

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Solution

The fourth proportional to 84,891.68, 117,101.72 and 53,005.22 is: 73,116.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,891.68 : 117,101.72 = 53,005.22 : x
  2. Step 2: Convert to fraction form
    84,891.68/117,101.72 = 53,005.22/x
  3. Step 3: Cross multiply
    84,891.68x = 117,101.72 × 53,005.22
  4. Step 4: Simplify right side
    84,891.68x = 6,207,001,977.98
  5. Step 5: Solve for x
    x = 6,207,001,977.98/84,891.68
  6. Step 6: Final answer
    x = 73,116.73

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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.