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Finding the Fourth Proportional to 85,126.94, 117,478.82 and 47,401.19

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Solution

The fourth proportional to 85,126.94, 117,478.82 and 47,401.19 is: 65,415.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,126.94 : 117,478.82 = 47,401.19 : x
  2. Step 2: Convert to fraction form
    85,126.94/117,478.82 = 47,401.19/x
  3. Step 3: Cross multiply
    85,126.94x = 117,478.82 × 47,401.19
  4. Step 4: Simplify right side
    85,126.94x = 5,568,635,867.80
  5. Step 5: Solve for x
    x = 5,568,635,867.80/85,126.94
  6. Step 6: Final answer
    x = 65,415.67

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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.