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Finding the Fourth Proportional to 57,078.50, 85,656.64 and 20,142.50

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Solution

The fourth proportional to 57,078.50, 85,656.64 and 20,142.50 is: 30,227.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,078.50 : 85,656.64 = 20,142.50 : x
  2. Step 2: Convert to fraction form
    57,078.50/85,656.64 = 20,142.50/x
  3. Step 3: Cross multiply
    57,078.50x = 85,656.64 × 20,142.50
  4. Step 4: Simplify right side
    57,078.50x = 1,725,338,871.20
  5. Step 5: Solve for x
    x = 1,725,338,871.20/57,078.50
  6. Step 6: Final answer
    x = 30,227.47

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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.