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Finding the Fourth Proportional to 84,915, 117,187.56 and 47,201.40

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Solution

The fourth proportional to 84,915, 117,187.56 and 47,201.40 is: 65,140.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,915 : 117,187.56 = 47,201.40 : x
  2. Step 2: Convert to fraction form
    84,915/117,187.56 = 47,201.40/x
  3. Step 3: Cross multiply
    84,915x = 117,187.56 × 47,201.40
  4. Step 4: Simplify right side
    84,915x = 5,531,416,894.58
  5. Step 5: Solve for x
    x = 5,531,416,894.58/84,915
  6. Step 6: Final answer
    x = 65,140.63

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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.