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Finding the Fourth Proportional to 85,142.92, 117,488.82 and 47,420.68

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Solution

The fourth proportional to 85,142.92, 117,488.82 and 47,420.68 is: 65,435.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,142.92 : 117,488.82 = 47,420.68 : x
  2. Step 2: Convert to fraction form
    85,142.92/117,488.82 = 47,420.68/x
  3. Step 3: Cross multiply
    85,142.92x = 117,488.82 × 47,420.68
  4. Step 4: Simplify right side
    85,142.92x = 5,571,399,736.80
  5. Step 5: Solve for x
    x = 5,571,399,736.80/85,142.92
  6. Step 6: Final answer
    x = 65,435.85

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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.