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Finding the Fourth Proportional to 85,137.75, 117,493.74 and 47,412

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Solution

The fourth proportional to 85,137.75, 117,493.74 and 47,412 is: 65,430.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,137.75 : 117,493.74 = 47,412 : x
  2. Step 2: Convert to fraction form
    85,137.75/117,493.74 = 47,412/x
  3. Step 3: Cross multiply
    85,137.75x = 117,493.74 × 47,412
  4. Step 4: Simplify right side
    85,137.75x = 5,570,613,200.88
  5. Step 5: Solve for x
    x = 5,570,613,200.88/85,137.75
  6. Step 6: Final answer
    x = 65,430.59

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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.