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Finding the Fourth Proportional to 57,076.58, 78,586.80 and 51,827.78

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Solution

The fourth proportional to 57,076.58, 78,586.80 and 51,827.78 is: 71,359.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,076.58 : 78,586.80 = 51,827.78 : x
  2. Step 2: Convert to fraction form
    57,076.58/78,586.80 = 51,827.78/x
  3. Step 3: Cross multiply
    57,076.58x = 78,586.80 × 51,827.78
  4. Step 4: Simplify right side
    57,076.58x = 4,072,979,381.30
  5. Step 5: Solve for x
    x = 4,072,979,381.30/57,076.58
  6. Step 6: Final answer
    x = 71,359.91

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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.