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Finding the Fourth Proportional to 85,105.50, 117,449.64 and 47,379.78

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Solution

The fourth proportional to 85,105.50, 117,449.64 and 47,379.78 is: 65,386.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,105.50 : 117,449.64 = 47,379.78 : x
  2. Step 2: Convert to fraction form
    85,105.50/117,449.64 = 47,379.78/x
  3. Step 3: Cross multiply
    85,105.50x = 117,449.64 × 47,379.78
  4. Step 4: Simplify right side
    85,105.50x = 5,564,738,104.28
  5. Step 5: Solve for x
    x = 5,564,738,104.28/85,105.50
  6. Step 6: Final answer
    x = 65,386.35

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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.