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Finding the Fourth Proportional to 65,857.40, 90,858.75 and 41,978.60

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Solution

The fourth proportional to 65,857.40, 90,858.75 and 41,978.60 is: 57,914.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,857.40 : 90,858.75 = 41,978.60 : x
  2. Step 2: Convert to fraction form
    65,857.40/90,858.75 = 41,978.60/x
  3. Step 3: Cross multiply
    65,857.40x = 90,858.75 × 41,978.60
  4. Step 4: Simplify right side
    65,857.40x = 3,814,123,122.75
  5. Step 5: Solve for x
    x = 3,814,123,122.75/65,857.40
  6. Step 6: Final answer
    x = 57,914.88

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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.