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Finding the Fourth Proportional to 85,305.26, 127,903.08 and 35,419.80

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Solution

The fourth proportional to 85,305.26, 127,903.08 and 35,419.80 is: 53,106.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,305.26 : 127,903.08 = 35,419.80 : x
  2. Step 2: Convert to fraction form
    85,305.26/127,903.08 = 35,419.80/x
  3. Step 3: Cross multiply
    85,305.26x = 127,903.08 × 35,419.80
  4. Step 4: Simplify right side
    85,305.26x = 4,530,301,512.98
  5. Step 5: Solve for x
    x = 4,530,301,512.98/85,305.26
  6. Step 6: Final answer
    x = 53,106.94

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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.