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Finding the Fourth Proportional to 57,102, 85,658.40 and 19,660.56

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Solution

The fourth proportional to 57,102, 85,658.40 and 19,660.56 is: 29,492.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,102 : 85,658.40 = 19,660.56 : x
  2. Step 2: Convert to fraction form
    57,102/85,658.40 = 19,660.56/x
  3. Step 3: Cross multiply
    57,102x = 85,658.40 × 19,660.56
  4. Step 4: Simplify right side
    57,102x = 1,684,092,112.70
  5. Step 5: Solve for x
    x = 1,684,092,112.70/57,102
  6. Step 6: Final answer
    x = 29,492.70

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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.