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Finding the Fourth Proportional to 57,102.94, 85,656.81 and 17,660.80

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Solution

The fourth proportional to 57,102.94, 85,656.81 and 17,660.80 is: 26,491.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,102.94 : 85,656.81 = 17,660.80 : x
  2. Step 2: Convert to fraction form
    57,102.94/85,656.81 = 17,660.80/x
  3. Step 3: Cross multiply
    57,102.94x = 85,656.81 × 17,660.80
  4. Step 4: Simplify right side
    57,102.94x = 1,512,767,790.05
  5. Step 5: Solve for x
    x = 1,512,767,790.05/57,102.94
  6. Step 6: Final answer
    x = 26,491.94

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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.