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Finding the Fourth Proportional to 84,978.36, 117,265.32 and 47,251.80

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Solution

The fourth proportional to 84,978.36, 117,265.32 and 47,251.80 is: 65,204.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,978.36 : 117,265.32 = 47,251.80 : x
  2. Step 2: Convert to fraction form
    84,978.36/117,265.32 = 47,251.80/x
  3. Step 3: Cross multiply
    84,978.36x = 117,265.32 × 47,251.80
  4. Step 4: Simplify right side
    84,978.36x = 5,540,997,447.58
  5. Step 5: Solve for x
    x = 5,540,997,447.58/84,978.36
  6. Step 6: Final answer
    x = 65,204.81

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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.