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Finding the Fourth Proportional to 85,493.75, 117,981.42 and 47,768

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Solution

The fourth proportional to 85,493.75, 117,981.42 and 47,768 is: 65,919.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,493.75 : 117,981.42 = 47,768 : x
  2. Step 2: Convert to fraction form
    85,493.75/117,981.42 = 47,768/x
  3. Step 3: Cross multiply
    85,493.75x = 117,981.42 × 47,768
  4. Step 4: Simplify right side
    85,493.75x = 5,635,736,470.56
  5. Step 5: Solve for x
    x = 5,635,736,470.56/85,493.75
  6. Step 6: Final answer
    x = 65,919.87

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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.