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Finding the Fourth Proportional to 85,012.89, 127,492.17 and 28,074.12

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Solution

The fourth proportional to 85,012.89, 127,492.17 and 28,074.12 is: 42,102.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,012.89 : 127,492.17 = 28,074.12 : x
  2. Step 2: Convert to fraction form
    85,012.89/127,492.17 = 28,074.12/x
  3. Step 3: Cross multiply
    85,012.89x = 127,492.17 × 28,074.12
  4. Step 4: Simplify right side
    85,012.89x = 3,579,229,896.27
  5. Step 5: Solve for x
    x = 3,579,229,896.27/85,012.89
  6. Step 6: Final answer
    x = 42,102.20

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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.