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Finding the Fourth Proportional to 85,274.70, 127,938.78 and 35,378.34

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Solution

The fourth proportional to 85,274.70, 127,938.78 and 35,378.34 is: 53,078.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,274.70 : 127,938.78 = 35,378.34 : x
  2. Step 2: Convert to fraction form
    85,274.70/127,938.78 = 35,378.34/x
  3. Step 3: Cross multiply
    85,274.70x = 127,938.78 × 35,378.34
  4. Step 4: Simplify right side
    85,274.70x = 4,526,261,658.03
  5. Step 5: Solve for x
    x = 4,526,261,658.03/85,274.70
  6. Step 6: Final answer
    x = 53,078.60

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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.