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Finding the Fourth Proportional to 57,414, 85,812.94 and 51,778.80

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Solution

The fourth proportional to 57,414, 85,812.94 and 51,778.80 is: 77,390.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,414 : 85,812.94 = 51,778.80 : x
  2. Step 2: Convert to fraction form
    57,414/85,812.94 = 51,778.80/x
  3. Step 3: Cross multiply
    57,414x = 85,812.94 × 51,778.80
  4. Step 4: Simplify right side
    57,414x = 4,443,291,057.67
  5. Step 5: Solve for x
    x = 4,443,291,057.67/57,414
  6. Step 6: Final answer
    x = 77,390.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.