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Finding the Fourth Proportional to 57,099.31, 85,654.67 and 19,654.43

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Solution

The fourth proportional to 57,099.31, 85,654.67 and 19,654.43 is: 29,483.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,099.31 : 85,654.67 = 19,654.43 : x
  2. Step 2: Convert to fraction form
    57,099.31/85,654.67 = 19,654.43/x
  3. Step 3: Cross multiply
    57,099.31x = 85,654.67 × 19,654.43
  4. Step 4: Simplify right side
    57,099.31x = 1,683,493,189.14
  5. Step 5: Solve for x
    x = 1,683,493,189.14/57,099.31
  6. Step 6: Final answer
    x = 29,483.60

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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.