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Finding the Fourth Proportional to 84,890.53, 117,149.39 and 47,164.78

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Solution

The fourth proportional to 84,890.53, 117,149.39 and 47,164.78 is: 65,087.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,890.53 : 117,149.39 = 47,164.78 : x
  2. Step 2: Convert to fraction form
    84,890.53/117,149.39 = 47,164.78/x
  3. Step 3: Cross multiply
    84,890.53x = 117,149.39 × 47,164.78
  4. Step 4: Simplify right side
    84,890.53x = 5,525,325,293.96
  5. Step 5: Solve for x
    x = 5,525,325,293.96/84,890.53
  6. Step 6: Final answer
    x = 65,087.65

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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.