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Finding the Fourth Proportional to 57,057.23, 78,766.56 and 37,968.86

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Solution

The fourth proportional to 57,057.23, 78,766.56 and 37,968.86 is: 52,415.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,057.23 : 78,766.56 = 37,968.86 : x
  2. Step 2: Convert to fraction form
    57,057.23/78,766.56 = 37,968.86/x
  3. Step 3: Cross multiply
    57,057.23x = 78,766.56 × 37,968.86
  4. Step 4: Simplify right side
    57,057.23x = 2,990,676,095.49
  5. Step 5: Solve for x
    x = 2,990,676,095.49/57,057.23
  6. Step 6: Final answer
    x = 52,415.38

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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.