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Finding the Fourth Proportional to 85,082.60, 127,619.23 and 25,913.31

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Solution

The fourth proportional to 85,082.60, 127,619.23 and 25,913.31 is: 38,868.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,082.60 : 127,619.23 = 25,913.31 : x
  2. Step 2: Convert to fraction form
    85,082.60/127,619.23 = 25,913.31/x
  3. Step 3: Cross multiply
    85,082.60x = 127,619.23 × 25,913.31
  4. Step 4: Simplify right side
    85,082.60x = 3,307,036,668.95
  5. Step 5: Solve for x
    x = 3,307,036,668.95/85,082.60
  6. Step 6: Final answer
    x = 38,868.54

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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.