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Finding the Fourth Proportional to 57,139.59, 85,709.40 and 27,551.91

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Solution

The fourth proportional to 57,139.59, 85,709.40 and 27,551.91 is: 41,327.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,139.59 : 85,709.40 = 27,551.91 : x
  2. Step 2: Convert to fraction form
    57,139.59/85,709.40 = 27,551.91/x
  3. Step 3: Cross multiply
    57,139.59x = 85,709.40 × 27,551.91
  4. Step 4: Simplify right side
    57,139.59x = 2,361,457,674.95
  5. Step 5: Solve for x
    x = 2,361,457,674.95/57,139.59
  6. Step 6: Final answer
    x = 41,327.87

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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.