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Finding the Fourth Proportional to 85,255.60, 117,659.74 and 47,022.63

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Solution

The fourth proportional to 85,255.60, 117,659.74 and 47,022.63 is: 64,895.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,255.60 : 117,659.74 = 47,022.63 : x
  2. Step 2: Convert to fraction form
    85,255.60/117,659.74 = 47,022.63/x
  3. Step 3: Cross multiply
    85,255.60x = 117,659.74 × 47,022.63
  4. Step 4: Simplify right side
    85,255.60x = 5,532,670,081.75
  5. Step 5: Solve for x
    x = 5,532,670,081.75/85,255.60
  6. Step 6: Final answer
    x = 64,895.09

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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.