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Finding the Fourth Proportional to 84,917, 117,190.32 and 47,203.40

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Solution

The fourth proportional to 84,917, 117,190.32 and 47,203.40 is: 65,143.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,917 : 117,190.32 = 47,203.40 : x
  2. Step 2: Convert to fraction form
    84,917/117,190.32 = 47,203.40/x
  3. Step 3: Cross multiply
    84,917x = 117,190.32 × 47,203.40
  4. Step 4: Simplify right side
    84,917x = 5,531,781,551.09
  5. Step 5: Solve for x
    x = 5,531,781,551.09/84,917
  6. Step 6: Final answer
    x = 65,143.39

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1.5x scale

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.