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Finding the Fourth Proportional to 57,128.41, 85,691.70 and 15,575.41

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Solution

The fourth proportional to 57,128.41, 85,691.70 and 15,575.41 is: 23,362.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,128.41 : 85,691.70 = 15,575.41 : x
  2. Step 2: Convert to fraction form
    57,128.41/85,691.70 = 15,575.41/x
  3. Step 3: Cross multiply
    57,128.41x = 85,691.70 × 15,575.41
  4. Step 4: Simplify right side
    57,128.41x = 1,334,683,361.10
  5. Step 5: Solve for x
    x = 1,334,683,361.10/57,128.41
  6. Step 6: Final answer
    x = 23,362.87

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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.