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Finding the Fourth Proportional to 57,187.31, 85,783.70 and 27,630

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Solution

The fourth proportional to 57,187.31, 85,783.70 and 27,630 is: 41,446.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,187.31 : 85,783.70 = 27,630 : x
  2. Step 2: Convert to fraction form
    57,187.31/85,783.70 = 27,630/x
  3. Step 3: Cross multiply
    57,187.31x = 85,783.70 × 27,630
  4. Step 4: Simplify right side
    57,187.31x = 2,370,203,492.85
  5. Step 5: Solve for x
    x = 2,370,203,492.85/57,187.31
  6. Step 6: Final answer
    x = 41,446.32

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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.