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Finding the Fourth Proportional to 57,128.46, 78,794.78 and 36,969.78

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Solution

The fourth proportional to 57,128.46, 78,794.78 and 36,969.78 is: 50,990.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,128.46 : 78,794.78 = 36,969.78 : x
  2. Step 2: Convert to fraction form
    57,128.46/78,794.78 = 36,969.78/x
  3. Step 3: Cross multiply
    57,128.46x = 78,794.78 × 36,969.78
  4. Step 4: Simplify right side
    57,128.46x = 2,913,025,681.75
  5. Step 5: Solve for x
    x = 2,913,025,681.75/57,128.46
  6. Step 6: Final answer
    x = 50,990.80

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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.