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Finding the Fourth Proportional to 86,203.98, 118,947 and 47,958.54

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Solution

The fourth proportional to 86,203.98, 118,947 and 47,958.54 is: 66,174.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,203.98 : 118,947 = 47,958.54 : x
  2. Step 2: Convert to fraction form
    86,203.98/118,947 = 47,958.54/x
  3. Step 3: Cross multiply
    86,203.98x = 118,947 × 47,958.54
  4. Step 4: Simplify right side
    86,203.98x = 5,704,524,457.38
  5. Step 5: Solve for x
    x = 5,704,524,457.38/86,203.98
  6. Step 6: Final answer
    x = 66,174.72

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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.