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Finding the Fourth Proportional to 57,066.54, 78,750.05 and 31,571.38

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Solution

The fourth proportional to 57,066.54, 78,750.05 and 31,571.38 is: 43,567.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,066.54 : 78,750.05 = 31,571.38 : x
  2. Step 2: Convert to fraction form
    57,066.54/78,750.05 = 31,571.38/x
  3. Step 3: Cross multiply
    57,066.54x = 78,750.05 × 31,571.38
  4. Step 4: Simplify right side
    57,066.54x = 2,486,247,753.57
  5. Step 5: Solve for x
    x = 2,486,247,753.57/57,066.54
  6. Step 6: Final answer
    x = 43,567.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.