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Finding the Fourth Proportional to 85,352.78, 127,933.70 and 31,993.40

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Solution

The fourth proportional to 85,352.78, 127,933.70 and 31,993.40 is: 47,954.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,352.78 : 127,933.70 = 31,993.40 : x
  2. Step 2: Convert to fraction form
    85,352.78/127,933.70 = 31,993.40/x
  3. Step 3: Cross multiply
    85,352.78x = 127,933.70 × 31,993.40
  4. Step 4: Simplify right side
    85,352.78x = 4,093,033,237.94
  5. Step 5: Solve for x
    x = 4,093,033,237.94/85,352.78
  6. Step 6: Final answer
    x = 47,954.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.